I don't think there's an answer to "is he right?"
There's only what he feels is right, and what you feel is right, and you obviously both think your right.
You probably need to sit down and discuss WHY he feels the way he feels, and WHY you feel the way you feel, and try to come up with a compromise. I do think that both feelings are justifiable in some way, but maybe he just doesn't realise how much you do.
For what it's worth, I am a part time working mum. I work 3 days a week, do all drop offs and pick ups, all the housework, all baths and bedtimes, all night wake ups, AND I'm 36 weeks pregnant..... husband goes to work 5 days per week (normal hours nothing over the top) and cooks dinner occassionally. At times I do feel like I'm carrying far more than my share of the load, but for the most part I'm ok with it. Sometimes it frustrates me, particularly when the amount I do seems to go un-noticed.
Anyway, I think you probably need to have a chat.