diff --git a/Directory.Build.targets b/Directory.Build.targets
index eb3a879221b8..cc4e6cd24fea 100644
--- a/Directory.Build.targets
+++ b/Directory.Build.targets
@@ -1,6 +1,16 @@
 <?xml version="1.0" encoding="utf-8"?>
 <!-- Copyright (c) .NET Foundation and contributors. All rights reserved. Licensed under the MIT license. See License.txt in the project root for full license information. -->
 <Project>
+  <PropertyGroup>
+    <!--
+      Disable nullable warnings when targeting anything other than our supported .NET core version(s). 
+      This condition will be evaluated multiple times in multi-targeted projects hence need to be careful
+      to only set in the inner builds, not the outer build where only $(TargetFrameworks) is defined.
+      We still check $(TargetFrameworks) for empty though, because for single-targeted builds we want to
+      allow nullable warnings regardless of target framework.
+    -->
+    <NoWarn Condition="'$(DisableNullableWarnings)' == '' AND  '$(TargetFrameworks)' != '' AND '$(TargetFramework)' != '' AND '$(TargetFrameworkIdentifier)' != '.NETCoreApp'">$(NoWarn);Nullable</NoWarn>
+  </PropertyGroup>
 
   <ItemGroup>
     <SupportedPlatform Remove="Android" />
diff --git a/src/Cli/Microsoft.DotNet.Cli.Utils/Command.cs b/src/Cli/Microsoft.DotNet.Cli.Utils/Command.cs
index 9a0683694ba6..fd634c174ad6 100644
--- a/src/Cli/Microsoft.DotNet.Cli.Utils/Command.cs
+++ b/src/Cli/Microsoft.DotNet.Cli.Utils/Command.cs
@@ -74,11 +74,12 @@ public CommandResult Execute(Action<Process>? processStarted)
 
             if (CommandLoggingContext.IsVerbose)
             {
+                Debug.Assert(sw is not null);
                 var message = string.Format(
                     LocalizableStrings.ProcessExitedWithCode,
                     FormatProcessInfo(_process.StartInfo),
                     exitCode,
-                    sw?.ElapsedMilliseconds);
+                    sw.ElapsedMilliseconds);
                 if (exitCode == 0)
                 {
                     Reporter.Verbose.WriteLine(message.Green());
diff --git a/test/Microsoft.NET.Build.Tests/GivenThatWeHaveAPackageReferenceWithAliases.cs b/test/Microsoft.NET.Build.Tests/GivenThatWeHaveAPackageReferenceWithAliases.cs
index 1d2114cbe0ab..861684cb342e 100644
--- a/test/Microsoft.NET.Build.Tests/GivenThatWeHaveAPackageReferenceWithAliases.cs
+++ b/test/Microsoft.NET.Build.Tests/GivenThatWeHaveAPackageReferenceWithAliases.cs
@@ -39,7 +39,7 @@ public void CanBuildProjectWithPackageReferencesWithConflictingTypes()
             var testAsset = _testAssetsManager.CreateTestProject(testProject);
 
             var packagesPaths = packageReferences.Select(e => Path.GetDirectoryName(e.NupkgPath));
-            List<string> sources = new() { NuGetConfigWriter.DotnetCoreBlobFeed };
+            List<string> sources = new();
             sources.AddRange(packagesPaths);
             NuGetConfigWriter.Write(testAsset.TestRoot, sources);
 
@@ -85,7 +85,7 @@ public void CanBuildProjectWithMultiplePackageReferencesWithAliases()
             testProject.SourceFiles[$"{testProject.Name}.cs"] = ClassLibAandBUsage;
             var testAsset = _testAssetsManager.CreateTestProject(testProject);
 
-            List<string> sources = new() { NuGetConfigWriter.DotnetCoreBlobFeed, Path.GetDirectoryName(packageReferenceA.NupkgPath), Path.GetDirectoryName(packageReferenceB.NupkgPath) };
+            List<string> sources = new() { Path.GetDirectoryName(packageReferenceA.NupkgPath), Path.GetDirectoryName(packageReferenceB.NupkgPath) };
             NuGetConfigWriter.Write(testAsset.TestRoot, sources);
 
             var buildCommand = new BuildCommand(testAsset)
@@ -122,7 +122,7 @@ public void CanBuildProjectWithAPackageReferenceWithMultipleAliases()
             testProject.SourceFiles[$"{testProject.Name}.cs"] = ClassLibAandBUsage;
             var testAsset = _testAssetsManager.CreateTestProject(testProject);
 
-            List<string> sources = new() { NuGetConfigWriter.DotnetCoreBlobFeed, Path.GetDirectoryName(packageReferenceA.NupkgPath) };
+            List<string> sources = new() { Path.GetDirectoryName(packageReferenceA.NupkgPath) };
             NuGetConfigWriter.Write(testAsset.TestRoot, sources);
 
             var buildCommand = new BuildCommand(testAsset)
diff --git a/test/Microsoft.NET.Build.Tests/GivenThatWeWantToBuildANetCoreApp.cs b/test/Microsoft.NET.Build.Tests/GivenThatWeWantToBuildANetCoreApp.cs
index 05a1a3aaec49..36e9637febc8 100644
--- a/test/Microsoft.NET.Build.Tests/GivenThatWeWantToBuildANetCoreApp.cs
+++ b/test/Microsoft.NET.Build.Tests/GivenThatWeWantToBuildANetCoreApp.cs
@@ -133,7 +133,7 @@ private void It_targets_the_right_framework(
 
             var testAsset = _testAssetsManager.CreateTestProject(testProject, testIdentifier);
 
-            NuGetConfigWriter.Write(testAsset.TestRoot, NuGetConfigWriter.DotnetCoreBlobFeed);
+            NuGetConfigWriter.Write(testAsset.TestRoot);
 
             var buildCommand = new BuildCommand(testAsset);
 
diff --git a/test/Microsoft.NET.Build.Tests/GivenThatWeWantToGenerateADepsFileForATool.cs b/test/Microsoft.NET.Build.Tests/GivenThatWeWantToGenerateADepsFileForATool.cs
index 7b6142541113..64b968440c15 100644
--- a/test/Microsoft.NET.Build.Tests/GivenThatWeWantToGenerateADepsFileForATool.cs
+++ b/test/Microsoft.NET.Build.Tests/GivenThatWeWantToGenerateADepsFileForATool.cs
@@ -86,7 +86,7 @@ private CommandResult GenerateDepsAndRunTool(TestProject toolProject, [CallerMem
 
             var toolProjectInstance = _testAssetsManager.CreateTestProject(toolProject, callingMethod, identifier: toolProject.Name);
 
-            NuGetConfigWriter.Write(toolProjectInstance.TestRoot, NuGetConfigWriter.DotnetCoreBlobFeed);
+            NuGetConfigWriter.Write(toolProjectInstance.TestRoot);
 
             // Workaround https://github.com/dotnet/cli/issues/9701
             var useBundledNETCoreAppPackage = "/p:UseBundledNETCoreAppPackageVersionAsDefaultNetCorePatchVersion=true";
@@ -116,7 +116,7 @@ private CommandResult GenerateDepsAndRunTool(TestProject toolProject, [CallerMem
                         new XAttribute("Version", "1.0.0")));
                 });
 
-            List<string> sources = new() { NuGetConfigWriter.DotnetCoreBlobFeed };
+            List<string> sources = new();
             sources.Add(nupkgPath);
 
             NuGetConfigWriter.Write(toolReferencerInstance.TestRoot, sources);
diff --git a/test/Microsoft.NET.Publish.Tests/GivenThatWeWantToStoreAProjectWithDependencies.cs b/test/Microsoft.NET.Publish.Tests/GivenThatWeWantToStoreAProjectWithDependencies.cs
index b315e318c856..9f75c4be174d 100644
--- a/test/Microsoft.NET.Publish.Tests/GivenThatWeWantToStoreAProjectWithDependencies.cs
+++ b/test/Microsoft.NET.Publish.Tests/GivenThatWeWantToStoreAProjectWithDependencies.cs
@@ -121,37 +121,6 @@ public void compose_dependencies_noopt()
             storeDirectory.Should().OnlyHaveFiles(files_on_disk);
         }
 
-        [Fact]
-        public void store_nativeonlyassets()
-        {
-            TestAsset simpleDependenciesAsset = _testAssetsManager
-                .CopyTestAsset("UnmanagedStore")
-                .WithSource();
-
-            var storeCommand = new ComposeStoreCommand(Log, simpleDependenciesAsset.TestRoot);
-
-            var OutputFolder = Path.Combine(simpleDependenciesAsset.TestRoot, "outdir");
-            var WorkingDir = Path.Combine(simpleDependenciesAsset.TestRoot, "w");
-
-            NuGetConfigWriter.Write(simpleDependenciesAsset.TestRoot, NuGetConfigWriter.DotnetCoreBlobFeed);
-
-            storeCommand
-                .Execute($"/p:RuntimeIdentifier={_runtimeRid}", $"/p:TargetFramework={_tfm}", $"/p:ComposeWorkingDir={WorkingDir}", $"/p:ComposeDir={OutputFolder}", $"/p:DoNotDecorateComposeDir=true")
-                .Should()
-                .Pass();
-
-            DirectoryInfo storeDirectory = new(OutputFolder);
-
-            List<string> files_on_disk = new()
-            {
-               "artifact.xml",
-               $"runtime.{_runtimeRid}.microsoft.netcore.coredistools/1.0.1-prerelease-00001/runtimes/{_runtimeRid}/native/{_libPrefix}coredistools{FileConstants.DynamicLibSuffix}",
-               $"runtime.{_runtimeRid}.microsoft.netcore.coredistools/1.0.1-prerelease-00001/runtimes/{_runtimeRid}/native/coredistools.h"
-               };
-
-            storeDirectory.Should().OnlyHaveFiles(files_on_disk);
-        }
-
         [Fact]
         public void compose_multifile()
         {
diff --git a/test/Microsoft.NET.Restore.Tests/GivenThatWeWantToIgnoreObsoleteDotNetCliToolPackages.cs b/test/Microsoft.NET.Restore.Tests/GivenThatWeWantToIgnoreObsoleteDotNetCliToolPackages.cs
index 9b21f3bbd9f2..1d771c714cb5 100644
--- a/test/Microsoft.NET.Restore.Tests/GivenThatWeWantToIgnoreObsoleteDotNetCliToolPackages.cs
+++ b/test/Microsoft.NET.Restore.Tests/GivenThatWeWantToIgnoreObsoleteDotNetCliToolPackages.cs
@@ -34,7 +34,7 @@ public void It_issues_warning_and_skips_restore_for_obsolete_DotNetCliToolRefere
                         new XAttribute("Include", obsoletePackageId)));
                 });
 
-            NuGetConfigWriter.Write(toolProjectInstance.TestRoot, NuGetConfigWriter.DotnetCoreBlobFeed);
+            NuGetConfigWriter.Write(toolProjectInstance.TestRoot);
 
             RestoreCommand restoreCommand = toolProjectInstance.GetRestoreCommand(Log, toolProject.Name);
             restoreCommand.Execute("/v:n").Should()
diff --git a/test/Microsoft.NET.Restore.Tests/GivenThatWeWantToRestoreDotNetCliToolReference.cs b/test/Microsoft.NET.Restore.Tests/GivenThatWeWantToRestoreDotNetCliToolReference.cs
index d702b78c096f..ca58a5f9b6b1 100644
--- a/test/Microsoft.NET.Restore.Tests/GivenThatWeWantToRestoreDotNetCliToolReference.cs
+++ b/test/Microsoft.NET.Restore.Tests/GivenThatWeWantToRestoreDotNetCliToolReference.cs
@@ -50,7 +50,7 @@ public void It_can_restore_with_netcoreapp2_2()
 
             DeleteFolder(Path.Combine(TestContext.Current.NuGetCachePath, toolProject.Name.ToLowerInvariant()));
             DeleteFolder(Path.Combine(TestContext.Current.NuGetCachePath, ".tools", toolProject.Name.ToLowerInvariant()));
-            NuGetConfigWriter.Write(toolReferenceProjectInstance.TestRoot, NuGetConfigWriter.DotnetCoreBlobFeed, nupkgPath);
+            NuGetConfigWriter.Write(toolReferenceProjectInstance.TestRoot, nupkgPath);
 
             RestoreCommand restoreCommand =
                 toolReferenceProjectInstance.GetRestoreCommand(log: Log, relativePath: toolReferenceProject.Name);
diff --git a/test/Microsoft.NET.TestFramework/NuGetConfigWriter.cs b/test/Microsoft.NET.TestFramework/NuGetConfigWriter.cs
index bf27fe23956f..6e90aa618904 100644
--- a/test/Microsoft.NET.TestFramework/NuGetConfigWriter.cs
+++ b/test/Microsoft.NET.TestFramework/NuGetConfigWriter.cs
@@ -5,7 +5,6 @@ namespace Microsoft.NET.TestFramework
 {
     public static class NuGetConfigWriter
     {
-        public static readonly string DotnetCoreBlobFeed = "https://dotnetfeed.blob.core.windows.net/dotnet-core/index.json";
         public static readonly string AspNetCoreDevFeed = "https://dotnet.myget.org/F/aspnetcore-dev/api/v3/index.json";
 
         public static void Write(string folder, params string[] nugetSources)
diff --git a/test/TestAssets/TestProjects/UnmanagedStore/UnmanagedStore.csproj b/test/TestAssets/TestProjects/UnmanagedStore/UnmanagedStore.csproj
deleted file mode 100644
index 97c34181d373..000000000000
--- a/test/TestAssets/TestProjects/UnmanagedStore/UnmanagedStore.csproj
+++ /dev/null
@@ -1,7 +0,0 @@
-<Project Sdk="Microsoft.NET.Sdk">
-
-  <ItemGroup>
-    <PackageReference Include="Microsoft.NETCore.CoreDisTools" Version="1.0.1-prerelease-00001" />
-  </ItemGroup>
-
-</Project>