We know from studies and records that pedophiles often reoffend, even if chemically castrated, and they often hoard massive collections of CP, many magnitudes higher than any healthy person with a sex drive. Certainly more that most normal people would be able to get through over their lifetime. We know that non-offenders speak of their herculean efforts of self control that they should be praised for for not preying on children.
Which suggests at least to me, that this is not a sexuality issue as some apologists like to make out, it is a pathological mental compulsive disorder, that is not curable, and for the safety of the larger community, and to stop the spread of their cursed genes, they should be put to death.