He's not a parent, he's a sperm donor. It's not going to change your life much if he's not there any more, is it? Make him shape up or ship him out.
My DH has always done bedtimes, as long as he's home. So he'll get in the door from work (under normal circumstances) and do bath if it's bath night before getting the children into bed. He'll eat his dinner after that.
Saturdays are Dadurday in our house. I get a lie in, and he does the morning routine, makes the children lunch, takes them (and the dog) out for a wander in the afternoon to give me some time alone, and then does bedtime as normal. He gets a lie in on Sundays.
But he does more than that because I have a chronic health condition that became worse after having our last child. So there are days when he does literally everything while I sit on the sofa or stay in bed. I still do all the thinking, mind you.
DH knows that he's their parent too, and he WANTS to spend time with them. He loves reading to them, he loves playing games with them, and he knows that he has to do his fair share of dealing with shitty bottoms and shitty behaviour.j
I home educate the children too, so time alone is really important for me, where possible. Spending time with the children is DH's time off work, and he loves that. He gets plenty of time alone whilst cycling to and from work.
Your husband is worse than useless, frankly.