I'm a SAHM now but used to work for a large corporate law firm and I can confidently say that some of my days at home with my toddler are busier and more exhausting than some of my days as a lawyer.
There are some days where I cannot manage to do all the housework, or go foodshopping, or take care of some other domestic task, just like how in the office there were days that I just couldn't get to everything on my desk.
Then there are some days where my toddler is particularly cooperative, the sun is shining, and I get to meet my friends and their babies in the park for a very enjoyable afternoon.
Similarly there are days when my dh (who has a very demanding job, generally) has a relatively relaxing day at the office, with time for a long lunch or extra socializing with his co-workers. Perhaps a drink after he leaves the office to celebrate a deal or some other accomplishment.
I don't begrudge him these moments off - in fact I'm glad he can relax at a long lunch. And he's glad if I can go to the park and socialize with other adults, even if that means that the laundry might pile up a bit.
So on nights when I'm shattered - he'll help with dinner and maybe do the dishes. When he's been chained to his desk all day and is stressed out I try to make sure that he can relax when he comes home and have a nice dinner. If we both feel awful we'll have a takeaway. If we're both still energetic at the end of the day we might have a go trying for dc#2 .
Bottom line is it's a partnership -- both of you should be on the same team, each willing to cut eachother some slack sometimes. He is not my supervisor, and he does not get to review my performance anymore than I can berate him for missing a work deadline or screwing up an assignment at the office.
Maybe it helps that before I stayed at home I had a job that was as demanding as his is now, I don't know. Perhaps this makes him see me as more of an equal and less like a cooking/tidying/ironing machine. (I'm sure Xenia has an interesting point of view on this.)
Anyway good luck to OP it does sound like although he crossed the line with the "i pay your mortgage comment", overall she has a good egg.