This decision seems to based more in politics than engineering. Have you observed Bun have more segfaults, OOMs, etc, since the Rust rewrite? Have you noticed more security vulnerabilities? Have you seen more bugs? (Of course you haven't, the rewrite hasn't even landed yet.) It seems that you are making this decision because you get a bad feeling when thinking about AI involvement. I don't select my engineering tools…
Bun being replaced entirely with stochastically generated code is red flag (regardless of whether it was or not). But Bun was also acquired by a huge corporation, which has been classically a huge red flag. Both of these are plenty of reason for yt-dlp not to support Bun.
In either case, this seems like a niche use case. I've used yt-dlp for years and I've never used Bun with it. If Anthropic really wants their recent acquisition to be supported in yt-dlp, it can fork it and support it itself.