The biggest problem is this... Hebephilia accounts for most cases of so called pedophilia. Michial Jackons was not a pedophile, he was a hebephile. Chriss Hanson exposed hebephiles not pedophiles and the list goes on. Straight hebephilia is not rare unlike infantophilia and pedophilia and gay hebephilia. Hebephilia is in fact dominany among all mammals including humans.
src: http://egomoral.com/age-of-consent-throughout-history/

Only up until the 1920s did feminism try to redefine the pubescent nature of humans to not include pubescent females.
src: http://egomoral.com/feminism-and-age-of-consent-laws-in-modern-culture/

The reason modern society permits current ageist policies demonizing hebephiles is because of women. Most women don't acknowledge the hebphilic nature of human sexuality because it's hard on their egos. In current modern society, human relationships are unnaturally defined as same age relationships. No where in the mammalian kingdom or human history is same age male and female relationships dominant. Females need to start breeding young to produce the most offspring and the males need to be at their competitive prime i.e. older and experienced. Most women are in denial regarding the pubescent nature of human relationships despite their extensive efforts to mimic pubescent traits daily. The phenomena is called Child-bride-denial.
src: http://egomoral.com/child-bride-denial/