Imagine you wake up in the morning with some wood and then think "if I could put my dick in a child right now, I would".
Yes, they are broken people. But they also have the highest reoffending rate of any kind of criminal. They literally never change. Those who claim to very often reoffend years later. I have heard before that many psychologists believe that they can't be helped.
Imagine if you came home to your partner one day and he said "today when I dropped our son off at school I saw a lot of kids I would fuck if it wasn't illegal". Imagine being in that relationship. How could you ever have any level of trust for someone who would do something so sick to a child.