AI content cannot be copyrighted; it goes from the case where a monkey stole a camera and took a selfie.
If the Ai can output enough to violate copyright, that's when an author can make claims. Until it does, it's just speculation that it might one day do that
the NYT case is another, but that was an older model more prone to that, and text is easier to (eg.) hash and prevent with a post-gen guardrail