This is false. The LLM's entire purpose is to mimic cognition.
You could argue that the operation differs in important ways - of course. But the similarity of output is literally the entire point.
"2) even if they were somehow proven to be the same"
I didn't suggest they need to be the same, proven or otherwise. I think you're not understanding. The point is that the function is similar.
How it works doesn't necessarily matter.
"3) cognition is not a "special exception to copyright" because it is entirely unrelated. "
False as a matter of law.
"4) we do not "judge every thought individually as to it's originality" because other peoples' thoughts are entirely opaque."
Also false as a matter of law. When you publish your thoughts - your works, writing, whatever they are judged as to their originality if the question of who owns the copyright is raised.
"Nobody is judging your thoughts, and if you think they are you need to take your medications."
There's no need to be snarky and disingenuous.
From the comment guidelines: Be kind. Don't be snarky. Converse curiously; don't cross-examine. Edit out swipes.