You might have some opportunity exploring a defamation action, but still, it's tenuous.
I don't have an answer, but I think we're looking at constitutional battles.
For further comparison revenge porn laws also have a similar potential for a first amendment defense but thus far have weathered challenges.
1. George W. Bush
2. Anna Wintour
3. Donald Trump
4. Rihanna
5. Chris Brown
6. Taylor Swift
7. Kanye West
8. Kim Kardashian
9. Ray J
10. Amber Rose
11. Caitlyn Jenner
12. Bill Cosby
https://en.wikipedia.org/wiki/Famous_(Kanye_West_song)#Music...
It ended up being received socially negatively, but legally didn't have issues and the video is still up on youtube.
There's nothing new here that couldn't be done manually before; all that has changed is the speed at which it can be done.
A generative model is different. You can produce as much content with it as you want, hallucinated out of thin air. The production of said content doesn't have externalities, other than electricity usage, if the content isn't distributed.
This is not true, its the buying of it that drives production. If you make your own meth or pirate CSAM then you would be harming only yourself.
Simply put, I don't think we'll see anything we haven't seen before, because this isn't a new thing that hasn't been done before- only the means of production (using AI) is new.
I do not see any way a law will stop what is essentially math from being performed.
While everyone is worried about job losses and Skynet, these sort of side effects of accessible AI will be what fundamentally shift society.