So the problem is, near as I can tell, that some people don't accept personal experiences and want harder evidence. Is that right?

Incidentally, your comment exhibits some bias of it's own: People with no personal experience in the matter saying it's not a problem and ignoring the fact that those who do have personal experience are saying that it is.

Wait a second - women have no personal experience being a male public figure. So how can women know what level of harassment a male public figure would receive? Do women really believe that "I know better than you do, and I say that you aren't being harassed as much as women are"?

Is this attitude among women also a problem?