You can restore shredded documents with enough time and effort. And if you did that and started making photo copies, even if they are incomplete, you will run afoul of copyright law.
Bittorrent is a relevant example because it shows that shredding doesn't destroy copyright.
Remember, copyright is about the right to copy something. Simply shredding or destroying a thing isn't applicable to copyright. Nor is giving that thing away. What's applicable is when you start to actually copy the thing.
EDIT: I don't say that neural networks can't rote learn extensive passages (it's an effect of data duplication). I'm saying that they are not designed to do that and it's possible to prevent that (as demonstrated by the latest models).
The way I arrive at that is imagine you add just 1 pixel of static to a video, that'd still be a copyright violation. Now imagine you slowly keep adding those random pixels. Eventually you get to the point where the whole video is just static, but at some point it wasn't.
Now, would any media company or court sue over that? Probably not. But I believe that still falls under copy right (but maybe fair use?).
The issue with neural networks is they aren't people. Even when you point your LLM at a website and say "summarize this" the output of that summation would be owned by the website itself by nature of it being a machine transformed work.
Remembered, it's not just mere rote recitation which violates the law, any transformation counts as well. The fact that AI companies are preventing it doesn't really solve the problem that they are in fact transforming multiple copyrighted works into their responses.
What would violate copyright is if you took that rendered page, turned it into a jpeg, and then hosted that jpeg from your own servers. That's the copying that would run afowl of copyright law.