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I agree to some extent, and I'm also not a lawyer, but instead of saying that the output of a LLM can't be copyrighted, I think it would mean that the question is who should benefit from the copyright (or patent). Certainly not just the person who entered the prompt. Instead it would be more like a group work: all of those who contributed to any of the LLM's inputs: all the authors of the stolen work + the person who programmed the LLM + the person who prompted the LLM. The machine itself is not doing any work - just following instructions, like my typewriter, but in a more complex manner.
(Edited my previous post to add this)
It's definitely interesting to think about it!