That is a more thorough definition - but in no way excludes former Representative Foley from it. I would say that actually means he is probably a pedophile - he has never acted on his impulse in a physical manner (so he says), and he seems to have great distress - so much so that he is an alcoholic.
No, I understand the confusion, but the important point is that pedophiles are attracted to pre-sexual children - children who have not reached puberty. It is a very aberrant and sick attraction and causes much damage to children who are preyed upon by pedophiles.
It is not the same thing as middle-aged men leering at an 18 year-old (which may be disgusting or funny, but not as sick and harmful as pedophilia). (Or middle aged women at a Chippendale exhibition, for that matter).