do women statistically commit as many violent and/or sexual crimes? no. but some still do

Even that assumption I've started questioning. My abuser never appears in any crime statistics, because it's not particularly easy to prosecute a case that is mostly based on psychological torture, since the crimes are hard to prove, easily dismissed as "just a bit of nasty behavior" and have relatively short times within which they have to be reported in order to be prosecuted, depending on the country you're living in. If on top of that you're a man and the abuser is a woman, have fun getting anyone in charge to legitimately believe your story. It doesn't diminish the violence that occurred, I just barely survived it.

Certain kinds of abuse are vastly underreported. Domestic, psychological and sexual violence (which are not exclusive categories, by the way) belong to these kinds of abuses. Some statistics say northwards of 40% of domestic abuse victims are men, for instance. Well at that point, we're kind of close to parity.

So let's focus on reducing violence entirely. Because another thing I've learned: while the individual elements of abuse tend to differ between men and women, the patterns are almost always very similar.