The value of copyright is going to vanish. There is enough public domain material to train models on and to avoid the problem altogether.
There used to be professions like tinkerers, bards, clowns. The tinkerers disappeared when the society became modern. The clowns on the other hand managed to lobby for laws that put people into jail for heinous crimes like copying pictures, and survived longer. They are going to bite the dust now.
What you describe would result in the opposite - copyright will be incredibly valuable in a system where the vast majority of "creative works" are just regurgitations of past works in the public domain, churned out by machines. In such a world, none of that has a copyright anyway. Actual creative works, which do garner copyright, will then be that much more valuable, because they will continue to be a property right with a breadth of coverage to make them useful.
There used to be professions like tinkerers, bards, clowns. The tinkerers disappeared when the society became modern. The clowns on the other hand managed to lobby for laws that put people into jail for heinous crimes like copying pictures, and survived longer. They are going to bite the dust now.