grannytomime, it depends on how you define a "problem".
Obviously, if you are an innocent man who is banged up, it's an individual problem, for you and your family.
On a societal basis, it is not a "problem" in that it isn't widespread and a massive, untackled, out of control problem. It happens extremely rarely. A man is more likely to be raped by another man, than he is to be banged up as a result of a false allegation of rape by a woman.
If you are desperately worried about it, but not worried about the huge numbers of women raped who will never, ever get justice, then you are worrying about a molehill, while ignoring the mountain.
I'd rather worry about the mountain. That's not to say the molehill doesn't matter, it's to recognise the proportion of my concern that should be given to each.
And don't you think it's noteworthy, that most of the concern of the media and most people, is concentrated on the molehill, not the mountain?
Hmm, now why might that be?