Meyer Lansky was rumored to have pictures, and according to that theory he used them to keep the feds off of himself and his associates.
One has to wonder why they haven't come out since then.
A prudent man would have kept multiple copies.
We don't know if Hoover was gay. But for the discussion let's assume he was and was also exposed
Exposed by whom? Would a respectable news source have published such an allegation even with cast-iron proof given the pressure that would have come with it? Also they might have considered their duty not to bring institutions into disrepute.
This leaves the muckrakers: who believes them?