LLM's and other generative AI are not designed nor are particularly good at this. What they are good at is returning new results using 'learning' it has developed via training.
If I want to send someone a sample of code, I'll use zip. If I want to generate code from a prompt, I'll use a llm.
Because of what?
How does ZIP compare to a LLM at answering a prompt to write a short story about cats in the style of Romeo and Juliet?
It's actually the other part of the parent comment that's wrong, and a large part of learning something is adding stuff to your dictionary.
Therefore, by definition and AI cannot create a derivative work. Because it's not human.
I see no reason to grant computer programs human rights. I think a lot of people would have a hard time articulating some reasons to do that. So they don't, and talk about the technology instead. I think that doesn't matter. If you can't tell me, and convince humanity, why a computer program should be granted human rights then I don't think we can even get to a point where the technology itself matters.
If you took a pen and paper and traced over an image that's also a copy, even though you used a human.
Saying that Generative AI is a compression algorithm shows a lack of understanding of the issues and technology at play.