No, you're making the mistake of assuming that pedophiles are all one type of person. There is often a distinction made between pedophiles and child molesters. Most child molesters are what I call "power sexual." Their desire isn't for children specifically, but for a sexual experience wherein they completely control the other person. Most pedophiles don't want to control or harm. They just have an abberant, dangerous attraction. You can't take studies of prisoners and convicted child molesters as indicative of the whole category of person because this sample over-selects power sexuals, sociopaths, and other types of dangerous people. Until we can reduce the stigma of the disease enough to get good quality studies of the non-offending population, we don't know if it's different, and we should assume that treatment should be structured like treatments for other harmful behaviors: understand, reduce, replace.