I think its simply a stereotype that all Paedophiles are unattractive and out of shape.

Paedophile stereotypes are based on the older age demographic, but there are plenty who are younger I'm sure.

My honest belief is that Paedophillia is the underpinning of homosexuality, and that both are tied.
Now that Homosexuality is more acceptable, more men label themselves as such.
And thus, we have a higher number of younger 'homosexuals', and a larger number of older Paedophiles.
The men from the era where Homosexuality was unacceptable.

But alas, I could be talking shit.
I am very tired, but that is my opinion anyway.