I think you're focusing too much on whether LLMs are "really human-like" or not. That's a distraction, and I shouldn't have made reference to it. Let me zoom out to a broader point:

It has never been a part of copyright to include the right to be influenced by the copyright work. Period. It's been the diametric opposite. Copyright as always existed, and been justified, as a way to get good, new works out into the public, so that later works can be influenced by them. The fact that one work was influenced by another has never, by itself, been a reason to consider it infringement. Not until 2022, when AIs actually got good at it.

When you argue for AI training as copyright infringement, you're saying that "the fact that your work was influenced by previous works, means you owe license fees". This is wholly without precedent[1], and was widely rejected until the moment some activists realized it could be a legal tool against Bad People. It's a Pandora's Box no one really wants (except perhaps very large media companies who will be able to secure general "learning licenses" for mass libraries of works). That was the the point emphasized in my original comment: If Anthropic is infringing because they base new works on old ones, so are you. You too owe licensing fees for every work you observed that fed into how you create. If that feels like an expansion of what copyright is supposed to cover ... that's the point.

For every single work of literature, you can go back and say "aha, this is clearly influenced by X, Y, Z". Precisely zero people were going out insisting that the author therefore owed fees to all those other creators, because the idea is absurd. Or was, until 2022, when some people needed a pretense for a conclusion they long supported for unrelated reasons ("Facebook must suffer"). So I think my second paragraph is justified.

"If you read 100 horror novels and write a new one based on everything you've noticed in them, you don't owe the authors jack squat. But if you have a machine help you compile the insights, suddenly, you've infringed the authors' rights." Yeah, you do need to justify that.

[1] I agree there are going to be cases where it, say, was captured too closely, but not for the general case, and it's further weakened when it's "imitating" a thousand styles at once.