That's perfectly true, OG. But I was trying to demonstrate why refuges for women seem more plentiful than those for men.
There is no doubt that many men are victims of DV (either in a straight partnership or a gay one) but almost always, when a partnership with children breaks down, it is the woman who has to think about care of the children. My somewhat flippant scenario, whilst over-egged, is not so far from the truth. When it suits a man to clear off he usually does just that. He does not have to think beyond himself and a sofa for a night or two is all he needs. By contrast a woman with children does not have that luxury and it is far harder for her to leave home than it is for a man. I know there are exceptions to this but I'm talking "in the (vast) majority of cases." And that's why women's refuges prevail.