This looks a lot more convincing to me than the Copilot lawsuit or the Sarah Silverman one. This suit shows ChatGPT reciting large amounts of NYT articles - not just little snippets of code or the ability to answer questions about Silverman's book.
It feels like even if training on copyrighted data is fair use (and I think it should be), that wouldn't give you a pass on regurgitating that training data to anyone who asks.