I think it’s unlikely that Mastodon (or other federated short form blogging platforms e.g. Pelorama) will integrate live-streaming as it’s pretty far outside of the normal content they are built for. There is a project that does support live streaming and is federated though: Peertube https://joinpeertube.org/
I haven’t seen their governance structure yet, but I don’t think it will ever be like Altman and OpenAI. Eugen just doesn’t have that cult of personality around him, and there’s not that much money in a free and open-source platform that doesn’t lock people in.