I have a schizotheory about this topic, namely: pedophilia is not a sexual orientation or attraction, it is an expression of psychopathy.
I suggest pedophilia is a behaviour of people who have the psychopatic personality disorder, not so much a condition on its own. Psychopathy being defined as a lack of empathy combined with high levels of self-interest and dislike for society as a whole (some people distinguish between psychopathy and sociopathy but imo that is not necessary).
Criminal profiler Pat Brown suggested that Munchhausen By Proxy is similar, a behaviour that some (mostly female) psychopaths display, rather than a unique condition - because all women who Munch their kids/grandparents/patients into illness or into death also display psychopathic traits. In essence, all pedophiles are psychopaths, but not all psychopaths are pedophiles. Psychopaths display their psychopathy in different ways: some become serial killers/rapists, some become CEOs, some become controlling husbands who make their family miserable and maybe one day kill their wife, some are women who manipulate their boyfriend into hurting others for their own amusement, some are women who Munch their kids to death. These are all expressions of psychopathy, an inherent lack of empathy and hate for society, that was there first. In order to rape children, you need to have a complete lack of empathy and disregard for consequences, for the victim, society, and even for yourself.
Normal people generally struggle to understand psychopaths because they are not psychopaths, which is why pedophilia makes so little sense to normal people. I don't think pedos necessarily find children attractive the way a normal person would find an love interest attractive. It's just that children and their innocence have become their fixation, and in a psychopath's logic if he wants something, he'll do what he can to get it. It's also considered pretty much the worst thing you can do, so they just get a kick out of breaking the rules.