I don't like this idea that llm code can't be owned by a human, copyrighted. It's just code.
I think your last example with flock camera is relevant here - I can take a picture of a public football as a reporter or something (or a fan I guess) and I can copyright and sell that picture. Newspapers do it every day.
So if I stand on a street corner and take a pic, it's copyrightable. If I take a pic using a flock camera it should also be copyrightable, just like if my nest camera at home takes a pic of something, I can use that.
I guess you are saying "someone else owns the flock camera" so you don't get to own pictures. What if I buy the flock-like camera and put it up, I should own that.