Their ability to transform things (art, text, whatever) at incredible speeds, means chasing copyright is going to be a game of Whac-A-Mole. Also, what percentage of transformation of copyrighted works is still infringement? A GPT can ingest a 500 word piece of copyrighted text and either summarise it down to 50 words or triple the word count in a stylistically unique manner.
Obligatory IANAL.
If you use any copyrighted source material without appropriate licensing (note: Fair Use is a form of licensing) in any way, that's copyright infringement. This is very simple and the legal world has demonstrated that fact time and time again long before computers ever came onto the scene.
Some "AI" drawing a picture derived from copyrighted materials is no different from a game using copyrighted assets from another game. If there is no appropriate licensing, it's copyright infringement.
We really need to stop muddying the water surrounding "AI" and their use of source materials. Those so-called "AIs" are just software like any other program, they are tools like any other computer application, and the copyright and licensing legal precedences that apply to software apply to them.