force men into domestic chores more to further uneven the gender separation of roles

That seems to be their entire shtick when it comes to relationships, at least ones with a beta. The attitude is that she goes above and beyond by letting him starfish her a few times a year, so he needs repay her by being her 24/7 slave, both at work and at home. When that doesn't happen she sees him as ungrateful and it makes her even more resentful that he's not the alpha that she feels entitled to.