Maybe a bit unlikely, but still an issue no one is really considering.
There has been a single ruling (I think) that AI generated code is uncopyrightable. There has been at least one affirmative fair use ruling. Both of these are from the lower courts. I'm still of the opinion that generative AI is not fair use because its clearly substitutive.
You may become a big enough target only when it's too late to undo it.