Paedophilia is a mental illness. Most people seem to forget that.
It is rare. Very rare.
Whilst some activities of the mentally ill may be criminal in nature, even quite sane people commit crimes. The consequences have to be dealt with and perpertrators discouraged and punished.
Whilst our society recognises ans uses mental illness as an excuse for women criminals, it seems to ignore the illness where men are afflicted.
The hysteria generated by 'child sexual assault' ignores another category of mental illness, described in the DSM. Factitious Disorders. To my jaundiced old eye, this is a category that has exploded in its incidence over the past 30 years or so.
I would say (without the requisit statistical back-up) that far more incidents of 'deliberate and fanciful lying' occur than sexual assaults on children. It is far more than can be explained by the 'fanciful' aspect alone.