There's a perfectly good (IMO) non-cultural reason for that, namely that the average man is physically bigger than the average woman and therefore he's more likely to seriously harm her by hitting her than the other way round.

The reason isn't terribly important for the purposes of this line of reasoning, so I'm going to largely leave this alone, and simply state that the iterated situation is considerably different than the one-shot situation.

Wait... what? I hear men saying such things about women once in a while, but I can't recall any women saying such things about men (except when talking about convicted criminals, in which case even other men will suggest such things). But then again, I'd guess the situation is worse on the other side of the pond.

"Any analogous reversal" doesn't mean "men talking about men." It's not limited to the social acceptability of women as violence-initiators; it also includes the social acceptability of men as violence-receivers.