ref: Small integration refactors

[mydea]

Some small fixes to integrations & rewriting some "forgotten" ones to functional syntax.

[github-actions]

size-limit report 📦

Path	Size
@sentry/browser (incl. Tracing, Replay, Feedback) - Webpack (gzipped)	75.39 KB (+0.06% 🔺)
@sentry/browser (incl. Tracing, Replay) - Webpack (gzipped)	66.79 KB (+0.06% 🔺)
@sentry/browser (incl. Tracing, Replay) - Webpack with treeshaking flags (gzipped)	60.39 KB (+0.06% 🔺)
@sentry/browser (incl. Tracing) - Webpack (gzipped)	31.39 KB (0%)
@sentry/browser (incl. Feedback) - Webpack (gzipped)	30.04 KB (0%)
@sentry/browser - Webpack (gzipped)	21.69 KB (0%)
@sentry/browser (incl. Tracing, Replay, Feedback) - ES6 CDN Bundle (gzipped)	72.79 KB (+0.01% 🔺)
@sentry/browser (incl. Tracing, Replay) - ES6 CDN Bundle (gzipped)	64.49 KB (-0.03% 🔽)
@sentry/browser (incl. Tracing) - ES6 CDN Bundle (gzipped)	30.67 KB (-0.14% 🔽)
@sentry/browser - ES6 CDN Bundle (gzipped)	22.73 KB (-0.16% 🔽)
@sentry/browser (incl. Tracing, Replay) - ES6 CDN Bundle (minified & uncompressed)	202.31 KB (-0.02% 🔽)
@sentry/browser (incl. Tracing) - ES6 CDN Bundle (minified & uncompressed)	92.23 KB (-0.07% 🔽)
@sentry/browser - ES6 CDN Bundle (minified & uncompressed)	67.28 KB (-0.09% 🔽)
@sentry/browser (incl. Tracing) - ES5 CDN Bundle (gzipped)	33.63 KB (+0.04% 🔺)
@sentry/react (incl. Tracing, Replay) - Webpack (gzipped)	67.17 KB (+0.06% 🔺)
@sentry/react - Webpack (gzipped)	21.72 KB (0%)
@sentry/nextjs Client (incl. Tracing, Replay) - Webpack (gzipped)	83.93 KB (+0.05% 🔺)
@sentry/nextjs Client - Webpack (gzipped)	48.57 KB (0%)
@sentry-internal/feedback - Webpack (gzipped)	16.35 KB (0%)