Yes, swallowedafly, you are right - it's not the love that dare not speak its name for god's sake.
It's someone who gets off on the thrill of violating an innocent, subduing their spirit and exerting their power and control over them. These guys are cruel sadistic ruthless men.
It's no accident that many of them rise to positions of power, in the community, in the church, in politics. They thrive on it.
Many paedophiles are also "happily married", leading double lives, having carefully chosen their spouse - usually someone who they have power over in some way, emotionally/intellectually whatever. They pick people who they know won't believe accusations against them.
The idea of the lonely, tortured paedophile in the grubby kagoul and NHS specs living alone and chaste but occasionally tempted through no fault of his own, is frankly ridiculous. In this "loner" scenario it's likely to be a power issue as well - can't control adults, or be a powerful adult, but can feel powerful when you're abusing children.
Rape is not about sex it is about power; paedophilia is not about sex it's about abuse of power.