IANAL but I was under the impression that Supreme Court ruling was very specific to the AI itself copyrighting its own produced code. Once a human is involved, it gets a lot more complicated and rests on whether the human's contribution was substantial enough to make it copyrightable under their person.
A fun exercise: When Supreme Court has not ruled on an open legal question of interest, let's ask AI what would be a likely ruling by Supreme Court.
I think SCOTUS might in fact use AI to get a set of possible interpretations of the law, before they come up with their decision. AI might give them good reasons for pros and cons.
Hopefully. If they are smart they know that everybody can be wrong, therefore it is good to hear differing opinions and argumentation from multiple sources, in important matters.