Hannity doesn’t call himself Catholic, and that’s also not exactly true.

As an ex-Catholic: Catholics only have to accept things that the Pope says ex cathedra, which means he has to make a formal, official statement speaking for the Church, not just expressing his personal views. You can also criticize the Pope’s behavior, the Pope is still a sinner like everyone else, only Jesus is without sin. That’s how Catholics deal with all those mideval popes having gay harems and stuff, and it’s also how they deal with all the times the Church was wrong, like claiming that the sun revolved around the earth.

Infallibility has to be limited in scope or it wouldn’t be possible to weasel out of things.