With that out of the way, the Pope is right. Knowledge should be used for the benefit of humanity and I don't think any of the big AI companies have our best interests in mind.
You can still follow a religion while rightfully thinking that the organization representing it to be corrupt (and how could it be otherwise, as it's made from mortal sinners?).
But you either believe that St.Peter and its descendants in Rome have been tasked by god to spread (and interpret) its word or you don't.
It's fine if you don't (I don't my self, I'm an atheist), but I don't get why can't you be a catholic if you believe and also find the organization flawed.
My point is that once you see a sort of contradiction between words and action, it may make one deeply reflect on it.
Plus personal and social experiences are often catalysts for changing one’s beliefs. It happens so often there’s a term for it: “crisis of faith”
The whole point of faith is that it’s a subjective opinion that cannot be proven.
Arguing that someone’s faith isn’t logical is about as sensible as arguing which shade of blue looks more wet.