I think flang-new should accept -fno-openmp. Clang and Gfortran accept this.
$ clang -fno-openmp test.c
$ gfortran -fno-openmp test.f90
$ flang-new -fno-openmp test.f90
flang-new: error: unknown argument: '-fno-openmp'
But I think the priority is not so high because the intended behavior is achieved by not specifying -fopenmp.