Most of the female on male reports of DV though, come from slaps not punches. That is Not OK - no one should be slapping anyone male or female. But hospitalisation is unlikely.
But specifically those stats on surprisingly high levels of female to male DV comes from women reporting having slapped a partner (in surveys) at a far greater rate than men report having been slapped. This points to underreporting in men of DV. It could be because they are ashamed, it could also be because in some cases they dont remember the time their teenage girlfriend slapped them 20 years ago, while the girlfriend does.
The fallacy, IMO, is thinking that this underreporting isn't also happening in women. Most female victims of DV don't leave after the first slap, or punch or kick etc etc. It usually escalates a lot before the police or other services would get involved. Although it is illegal and immoral to slap your partner-very few police prosecutions of assault are for slaps, they are usually much worse. So there is a idea that when men slap their partner it is taken very seriously, seen as DV, but when women slap their partner it isn't. That isn't the case at all.
Where a woman is slapped, then leaves straight away with no repurcussions from her partner, nothing else usually happens. When a man is slapped then leaves straight away with no repurcussions from his partner, nothing else usually happens. (again that doesn't make slapping OK).
If you look at who is a victim of coercive control/financial control etc (admittedly hard to measure) it tends to be much more women than men. When you look at who is a victim of ongoing DV it tends to be more women than men. It's only in the very specific case that you draw the line at slapping once in the relationship (anything "less than" isn't included, but a slap is considered the same as a violent beating) that you can see, in some statistics that men suffer almost as much as women. If you draw the cutoff line higher or lower it looks very different. It is deliberate massaging of statistics and I don't think it's particularly helpful because it doesn't shed a light on male victims real needs, and helps to obstruct support for women's only DV services.
Sorry - that was really lengthy. It's because, I know we aren't supposed say there is a hierarchy of violence. But actually I think there kind of is. Though it's all bad.