I don't understand some people's attitude to this (and finding it quite interesting, as I will soon be going on maternity leave with my first).
Currently my DH and I both work full time, and do 50/50 housework. Do people really think that when I'm at home full time, suddenly, I should do ALL housework and childcare? i.e. the impact on him of having a baby should be that he needs to do LESS work than he did pre-DC?
That doesn't make sense to me. Personally, I would not be having a child with a man who didn't want anything to do with it 5 or 6 days a week.
OP - your DH needs to think long and hard about what he is suggesting, and the implications it could have on his relationship with his daughter. I could have no respect for a man who did not want to deal with his child on a day to day basis. This was an opinion I established at a very young age, when I compared what my dad did to what my mum did, and decided he was a selfish prick. As an adult, I now see that he is a good person, but he was not a good father in a lot of ways. Does your DH really want that for himself?
If I was you, I'd definitely dig my heels in, and make sure that you get your nights for your classes, and he spends decent time with your DC at least a few nights per week. And just ignore all the people saying "you've got it better than me, so you should be happy with it". You shouldn't settle for an unfair situation just because it's slightly less unfair than other people's.