The point is that as a matter of human rights, we assume people are innocent until proven guilty.

That is a common saying, repeated more often than understood. The police can hardly do their job by actually assuming that everyone is innocent. What the slogan actually means is that they have the burden of proof, and even that only applies to the processes of formal justice. Law enforcement can suspect who they please, for any reason whatever, and direct their enquiries accordingly. And outside of the justice system, everyone is free to use whatever data they have to update their beliefs and actions in whatever way seems justified by the data.

A fundamental theme of this site, if you hadn't noticed. But you're not actually interested in the matter of LessWrong, are you?

In the present context, "innocent until proven guilty" is an irrelevance, another Power Word: Stun. It does not mean that as a matter of human rights (Power Word: Stun again) I must believe that someone avowing their attraction to children has never acted on it and is never going to. I have no reason to assign them to the "celibate" pseudo-category.

The tolerance that celibate pedophiles seek is far more basic than that. Would you still be friends with one?

I would very much keep at least at arms length from any such character, and to the extent it were in my control, keep them away from children. You see, where do I get this supposed knowledge that they are a "celibate pedophile"? Their own word? Why should I believe it? Why should I believe you? The supposed class of "celibate pedophiles" makes about as much sense as "drunk drivers who have never had an accident".