@Tfmonkey - If I may offer a small distinction for consideration: I understand CNY refers to anime lolis, right?
I've been around a doujin manga or two... and lolis are nothing like actual children - in demeanor and behavior that is. My point being: lolis ≠ children.
Lolis tend to be little sexpots and pinups, sprung forth from the imagination and a pen. Whereas actual children are generally needy & annoying little shits (that require immense investment to be turned into functional adults).
Based on fallible memory of what I read years ago from sources not listed
Statistics have been gotten from the prison population who were caught
Low IQ (caught)
2 / 3 fall in one of the two categories
1 are primarily attracted to adults but can not get consistent access to a adult partner, such as a spouse who refuses access. So they commit the crime because it is easy access
2 Are delusional due to mental health
1 / 3 commit the crime based on primary attraction