You take away the religion, he's a flat character.
Frollo's extremely religious in the movie. It's starting to look like you haven't even seen the movie. And as that other guy said, there's reasons for him to be having a mental breakdown besides a vow of chastity. You keep hyperfixating on these bizarre negligible points. I think you should go back and (re?)watch the movie.
---Ever thus to deadbeats, Lebowski.