/////The fact that these men are in a position of trust and have access to vulnerable young folks....and that in the huge majority of cases the crimes are committed by men against young boys who are over the age of puberty/////

So is homosexuality more likely to produce men who pray on boys? Or are homosexuals most likely to first maneuver themselves into positions of trust in order to procure unlimited access as opposed to heterosexual males who attempt to procure girls which appear to be largely crimes of opportunity? I have no idea. You tell me.

/////genuine paedophilia is actually extremely rare////

Define "extremely rare." I would hope it is less prevalent than men who attempt to have sex with people under the age of consent but I don't know if that means it virtually never happens which is how I define extremely rare. I think it probably happens fairly frequently but is exceedingly difficult to prove and has probably landed many innocent people in prison.

Also define "genuine pedophilia." Do you mean pedophilia as legally defined or do you have your own standard? Usually, it is meant as someone with an interest in prepubescent children. Was Sandusky a pedo? Some of his victims appeared to be as young as 10. I would call that pedophilia. Even 13 can be pedophilia if the victim hasn't yet passed through puberty.

Girls at 13 or 14 generally look something like women. They have womanly figures and are within the height range. To men who are attracted to them, they probably appear to be nubile young women easy to manipulate. Girlish women rather than young girls. Such females are not that far from being women in that by 16, she is done growing. Boys on the other hand do not really look like young men at 13 or 14. They still look like boys. They do not hit their growth spurt until about 16.

Girls develop faster than boys in that age group. I remember in junior high, a lot of girls were taller than me. When we got to high school, I was taller than them. While some boys can grow facial hair in their teens, you rarely see it in boys at 13 or 14. Boys don't stop growing until they are about 18. I couldn't grow facial hair until I was in my early twenties. Now my damn face is quite hairy.

So having pointed all this out, I think pedophilia is likely more common in homosexual men than heterosexual men.