was actually the first film where Hyams got the DP credit, and that was the case for all of his subsequent work. You might be thinking of this interview
where Hyams says the ASC turned down his application for membership. Robert Rodriguez is also credited for the cinematography on a number of unionized films. Steven Soderbergh is an odd case but might be relevant here: he adopted the "Peter Andrews" pseudonym for his work as DP not because of the ASC, but because of the Directors and Writers Guilds—he didn't want to be credited multiple times and the Guilds wouldn't let him put his cinematographer credit on the same card as his director credit, since the DGA requires the director credit to come first and the WGA requires the screenwriting credits to come second. That wouldn't be an issue for someone like Anderson who writes his own films (and has always had multiple credits anyway, with a separate card for producing).
All that said, my guess is he's going to do the same thing he did on Phantom Thread
and have no cinematographer credit on the grounds of collaborative effort. If he's not allowed to do that on a U.S. production, I dunno, maybe a pseudonym.