Actually, the RCC's position would probably be something akin to "feeling pain brings us closer to being like Jesus" or some other such nonsense.

I mean, after all, that was Mother Theresa's outlook (which is why so many suffered under her "care" in terrible conditions - despite her organization being extremely well funded. Mind you, though, that when it came time for her care, flying out to receive proper medical treatment in a first-world country was paramount).