As opposed to what?
and this business that the Pope is infallible
Do you even know what that means? It doesn't mean he doesn't sin, or that he does everything perfectly, or anything like that.
All it means is that he won't definitively teach heresy to the entire church.
Been a while since I was Catholic, but infallability only applies when he speaks ‘ex Cathedra’ (from the Chair).
Seem to remember that being the case.