Unless you are trying to argue that we are incorrectly using the word pedophile, I don't think that study[1] is relevant to this discussion. It is a comparison of recidivism between child molesters, some of whom meet certain criteria for 'pedophile' and some of whom do not. I think informally they would all be considered pedophiles.

1: http://www.courseweb.uottawa.ca/PSY3171/personalwp/P38%20Rec...

I guess it'd be similar to other paraphilia (how do you pluralise that?).

I could see it being recidivist though, as it's an innate drive.