There are no magic words in law. Whether someone can invoke fair use in order to use copyright in a way not authorized by the rightsholder is subject to a four-pronged test regarding the specific use in question. "Fair use is fair use," is a pithy slogan or a bumper sticker, not something that has anything to do with how courts approach these questions.
And right now, there is very little that's directly on point in these AI cases. There is a *lot* of litigation to come before anyone can declare how courts view the intersection between AI usage, copyright, and the fair use doctrine.