I still find some women who can't conceive of it; they are mostly older though and of a certain mindset. The only way they "accepted" it as a possibility was if the man who committed child sex offences was partner-less and/or generally considered "odd".
Seemingly normal, well adjusted, attached men would have been discounted as child sex abusers as a default response. The kids, usually girls, were branded as some combo of crushing, attention seeking, trouble making, lying, maturing too fast, Lolita's etc.
On the attached man thing, I still had a woman at a church toddler group, only a few years ago, announce - with the attitude that that was the only explanation needed - that the man taking photographs of all the toddlers and babies closeup (with no consent form offered, until I raised it) was "That's my husband!".
As though married men were exempt from inappropriate behaviour to kids; even though the typical profile of a child sex abuser in the US for example, is a church attending, married man.
Her DH was kind of giving me the creeps incidentally, and after being made to feel like I was the odd one out the saying I'd like to opt out of the constant close up photo taking, I didn't attend really that group.
Anyway - in general, with older women I know, I think that convictions, over time, are one of the few things that convinced them. Before, when cases were not prosecuted and convictions pretty much non existent; I feel like that lack of evidence (and of corresponding legal punishment) led them to discount it happening at all, let alone being prevalent.
Absolutely - re. a man in your family or life committing child sex offences.
It's also the case that the entire family is tarred with the same brush, gossiped about etc. and people therefore don't want to admit it or for others to know about it.
I have an uncle who is a hebephile offender, possibly worse, I don't know. I mentioned this to an ex, a man from a traditional background and rural area; it was obvious that he was shocked, and also that he saw it as a mark against/reflection of the entire family. He absolutely struck me as someone who would gossip about it a great deal and that if we finished, which we obviously did, that it would form the backbone of his explanation for why I, and my family, were "no good". Not respectable, dysfunctional etc.