I would agree. And also, start planning and doing things on the weekends that he has his daughter. If he doesn’t have you to foist her off on, then maybe he’ll have to stop avoiding her and be forced to confront the issue. That’s really what’s needed, here. Make no mistake, you are in the middle of a power struggle with this girl. Don’t give ground, you have a right to be respected in your own home. Taking yourself out of the middle takes away her target (it’s her fault my daddy is acting this way!) and his (I don’t need to deal with this, lezlers is overreacting, it’s not really that bad).
Go on weekend trips with a friend, leave before he gets up and stay gone half the day, work, whatever.