I'd imagine for the vast majority of pedophiles their pedophilia might be something like this comparison.
Imagine being slightly attracted to your girlfriend's mother or best friend. You couldn't even think of raping her, that'd be a completely absurd, insane idea. If you're a decent human being, you would never, ever even touch her in any sexual way, not even if you got a perfect chance at it, not even if she threw herself at you.
In the case of a pedophile, anyone would know it would be considered a monstrous act to act upon your urges. Any half decent human being would have the empathy to realize it would really be a monstrous act.
I know, the comparison isn't completely accurate, but anyway, the point is that I really don't think most pedophiles have to actively control their urges. I'd guess it's something they may sometimes want, but couldn't really even imagine doing in reality. Sort of like a fantasy.
It might be harder for those that are only attracted to children though. I'd imagine at least that majority don't have such an exclusionary orientation, but I'd imagine that even those who have it an exclusionary orientation, would mostly realize how monstrous it would be to act on it.
Not saying they don't need help though. In any case, it would be good if they could talk about it without being instantly demonized only for having such an attraction. Such demonization doesn't help anyone.