Them being uncopyrightable doesn’t imply that they can’t infringe on others’ copyrights. If you publish some copyright-infringing piece and say “my dog typed it

Them being uncopyrightable doesn’t imply that they can’t infringe on others’ copyrights. If you publish some copyright-infringing piece and say “my dog typed it by accident” (LLMs basically have the same status as animals here), then even in the hypothetical case that that’s true it’s still copyright infringement.