feat(nextjs): Always transmit trace data to the client

[lforst]

Resolves #13303

[github-actions]

size-limit report 📦

Path	Size
@sentry/browser	22.5 KB (0%)
@sentry/browser (incl. Tracing)	34.3 KB (0%)
@sentry/browser (incl. Tracing, Replay)	70.52 KB (0%)
@sentry/browser (incl. Tracing, Replay) - with treeshaking flags	63.83 KB (0%)
@sentry/browser (incl. Tracing, Replay with Canvas)	74.91 KB (0%)
@sentry/browser (incl. Tracing, Replay, Feedback)	87.54 KB (0%)
@sentry/browser (incl. Tracing, Replay, Feedback, metrics)	89.36 KB (0%)
@sentry/browser (incl. metrics)	26.81 KB (0%)
@sentry/browser (incl. Feedback)	39.47 KB (0%)
@sentry/browser (incl. sendFeedback)	27.13 KB (0%)
@sentry/browser (incl. FeedbackAsync)	31.79 KB (0%)
@sentry/react	25.26 KB (0%)
@sentry/react (incl. Tracing)	37.29 KB (0%)
@sentry/vue	26.65 KB (0%)
@sentry/vue (incl. Tracing)	36.14 KB (0%)
@sentry/svelte	22.64 KB (0%)
CDN Bundle	23.73 KB (0%)
CDN Bundle (incl. Tracing)	35.97 KB (0%)
CDN Bundle (incl. Tracing, Replay)	70.36 KB (0%)
CDN Bundle (incl. Tracing, Replay, Feedback)	75.6 KB (0%)
CDN Bundle - uncompressed	69.61 KB (0%)
CDN Bundle (incl. Tracing) - uncompressed	106.54 KB (0%)
CDN Bundle (incl. Tracing, Replay) - uncompressed	218.05 KB (0%)
CDN Bundle (incl. Tracing, Replay, Feedback) - uncompressed	230.94 KB (0%)
@sentry/nextjs (client)	37.16 KB (+0.04% 🔺)
@sentry/sveltekit (client)	34.9 KB (0%)
@sentry/node	115.61 KB (0%)
@sentry/node - without tracing	90 KB (0%)
@sentry/aws-serverless	99.42 KB (0%)

[lforst]

This was dead code.