I don't think it's cherry picking when it comes to domestic violence. I've looked into the large surveys there. Overall, women evolved to be less violent than men; they kill less often than men do (but men kill other men and themselves far more often than they kill women). But when it comes to attacking children and elders in the home, women definitely do their fair share. Here's an old article by Cathy Young on the issue. Young is no particular friend to men: