The problem the OP has is shown really clearly on here; we are having the same issues as we discuss this with one another.
When I had three kids aged four and under, everyone thought I was busy at home with them, which I was. And there are excellent reasons for doing your own care when they are preschool, both development and financial.
Now they are almost 22, 20 and 18 I don't think anyone would seriously argue that I would be busy at home, especially if they were NT kids. The "justification" for SAHM shifts from being clearly as much work as anything else, to being something the family wants to do for its comfort and convenience, and then later again, to being a luxury the mother can afford and deserves.
It sounds as if the OPs pArtner thinks things have shifted away from the "heavy work" years and hasn't yet bought into the "comfort and convenience" argument. It's a valid argument, if both partners want that and agree to it. The problem comes when they disagree, as here. The OP was ambiguous about whether she is actively looking for work right now and being prevented from finding any by the job market; or whether she feels it would be right to stay home longer. She suggests different things in different posts. Perhaps that's because it's still something they haven't quite resolved together.
Holding grudges and sulking is a toxic way to keep score. But there is a valid and fair way for a couple to agree if what they are doing is fair on both sides. For many couples, there comes the time when the family needs the extra money, either right now, or because pensions are crap and you both need one in due course, and the kids will need help with house deposits. There is nothing wrong with weighing up how much a drawer full of clean shirts is worth against that kind of thing.
The idea of a man who does no housework or childcare cover while his wife works FT seems a bit of a myth to me; I don't know any men like that. I do see it where the mother works part-time, with some hours at home to run things.