As much as being a househusband is my fetish, Esdeath would hate a man 'weak' enough to be one. Remember her five demands? One of them was a large pool of potential so she could raise her man to become at least general class, another one fearlessness so they could go hunting danger beasts together. She's probably rich enough to have her own cleaning staff, so there'd be no need for housework. She and her man would be out in the world, getting into fights with rebels and monsters.