From what I've been following it seems very likely that, at least in the US, AI-generated anything can't actually be copyrighted and thus can't have ownership at all! The legal implications of this are yet to percolate through the system though.
parent statement reminds me of smug French in a castle north of London circa 1200, with furious locals standing outside the gates, dressed in rags with farm tools as weapons. One well-equipped tower guard says to another "no one is seriously disputing the administration of these lands"
https://llmlitigation.com/case-updates.html
Personally I have roughly zero trust in US courts on this type of issue but we'll see how it goes. Arguably there are cases to be made where LLM:s cough up code cribbed from repos with certain licenses without crediting authors and so on. It's probably a matter of time until some aggressively litigious actors do serious, systematic attempts at getting money out of this, producing case law as a by product.
Edit: Oh right, Butterick et al went after Copilot and image generation too.
Note, that this is not a statement about the fairness or morality of LLM building, but to think that the legality of AI code generation is something to reasonably worry about, is betting against multiple large players and their hundreds of billions of dollars in investment right now, and that likely puts you in a bad spot in reality.