OP do what you feel is best and if your partner is coping with it happily continue. You do work all day its just not paid, I don't want to hear anymore crap about you not working those comments make me angry.
What of women the many women here who work have their babies go back to work come home do all domestics and do feeds for baby through the night. Whilst their husbands get off scot free because apparently they work and the rest of us don't? When do women get time off? most women it seems don't they still do the lions share of domestics and baby rearing, it would seem babies came to the world all on their own without men
My first child my husband was great, we shared night feeds, I did insist id be fine but he wanted to do 1 feed to bond.
my 2nd child he did the same. But third one he didn't do any day feeds forget night, I was doing all feeds, looking after his mums needs, and my other children. I never asked because I felt bad he would get less sleep, I didn't think about my sleep, I never got naps no chance. I ended up dropping the baby flask of hot water all over the back of my hand one night, it took months to heal, was painful and looked disgusting.
So OP id ignore those who give you a sob story about your partner working, yes we all work paid or not so? you have to share you're not a machine, plus im sure he wants to bond with his child.
if your partner says hes drowsing off at work, then maybe you can take over the 2nd night feed, and let him to the midnight one. Good luck and try to be easy on yourself ;)