womanformallyknownaswoman
I have no stats either.
Anecdotally and from MH research etc, I would suggest that there is overlap but that men who are violent to women are not always violent to other men.
Men who are particularly, or additionally, violent or hateful towards women may have been neglected/ betrayed, or perceive that they were, by women in their own familiy eg their mother (as well as a male perpertrator). This may be being neglectful, complicit in abuse, turning a blind eye, failing to protect, being 'weak', domineering etc.
Sometimes this is misplaced eg the woman was physically abused and so could not protect herself or the child but the child still blames the woman; the person internalises and reproduces the male abusers words like nagging, she desevered it etc; sometimes that the mother is blamed because it would be dangerous to vent anger on the real abuser, or that the mother actually was neglectful/abusive, BPD, narcissitic etc.
All reinforced by the prevailing misogyny.
From what I have gathered, male on male violence can be not-personal. Just an outlet, any man would have got the same treatment in the same time or place. For some people who have been abused sexually/psychologically (I mean, it is all psychologically abusive but sometimes it can be particulary so) there may be an added visceral anger and psychological element and the expression is more vengeful and targeted than random getting into fights.
Perhaps getting into fights is a form of self-harm.
I perhaps haven't expressed that very well!