First of all, I'm not trying to one-up women on their experiences with abuse. I feel that is very insensitive, particularly to one who has suffer recently from abuse. I personally haven't experienced physical abuse from a domestic partner for a long, long time. I don't want to minimize or dismiss anyone's suffering. I'm just responding to that line.
I feel that men's safety is very low on societies radar. Google women's safety and you'll see a bunch of articles about violence against women. Google men's safety and you'll see ads for work boots.
You are correct that women suffer more from domestic abuse. There are studies that have shown that men and women perpetrate violence at the same frequency. These studies come from reliable sources, but are also in dispute. Still, women suffer more as men are physically stronger and are more likely to escalate abuse to dangerous levels.
Men, on the other hand, most likely underreport more than women. Men are often not believed, mocked and/or ridiculed when they report domestic abuse. They are also often victim blamed, "well, what did you do?" Men have no support, no domestic abuse shelters...etc. Even the Duluth Model of domestic abuse assumes that the perpetrator is male and the victim is female. If I did suffer from abuse, I don't think there would be any help for me. I would likely have to divorce to escape it and risk not being able to see my children.
Beyond domestic abuse, men are three times more likely to be a victim of violent crime.