They won't publish them. But I'll guarantee you they will anonymously leak out on the internet. There is no way to prove they are the only people with these photos. (and they of course aren't the only ones)
That would make being caught leaking the photos perjury. The stakes are so high that AMI might well not dare to do that.
Its easy to imagine that Bezos, whatever he is saying publicly, is also getting excellent legal consul privately and that two can play at the games that AMI is so infamous for.
The kind of people who care about "celebrity gossip" will have no idea who he is, and the people who do know who he is won't care. There is no market for these photos.
We all hate when the big guys use lawsuits to stifle the little guys, but getting AMI execs tied up in legal worries and costs seems, in this instance, to have popular appeal?