I've heard this notion that "we devalue women's work" but I can't actually put my finger on any example of this. I'm not sure it's really true.
Yes, homemakers are not paid in money. That doesn't make the work any less valuable. And I think that anyone who thinks about this for a few seconds would come to this conclusion. There's nothing more valuable about a man cooking in a restaurant than a woman cooking in her home. Maybe the opposite, because a restaurant cook can be replaced more easily than the mother to a particular child.
When I read traditionalists talking about this, they tend to emphasize the value of what women provide in that traditional role. They'd never say that the women are idle or useless or worthless. I remember old Chinese stories about a man choosing a wife based on her cooking skills. And on the modern side, one of the Proud Boys' core tenets is "venerate the housewife".
Is it progressives/feminists who are devaluing womens' work? Is it a side-effect of the campaign to free women from having to do that work, that the work itself ends up getting denigrated along with the women doing it? I think feminists would generally also say that home work is fully respectable, but maybe there's an undercurrent of disrespect there. To say women should move from home to career is in some sense implicitly valuing career over the home.
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You point to the daily use of money as the source of the difference. I think that may be wrong. I think the cause may actually be education.
Traditional women's work doesn't require more than a primary education. When everyone is uneducated, one may see that work as equal to an equally-uneducated man's work doing subsistence farming or laboring. But once society starts educating men (and only men, because resources are scarce and there are no washing machines or dishwashers and every woman is occupied on all-day every day home work and so they cannot be spared), a difference in hourly value appears between the man and the woman. Because of education, the woman's work is in some sense actually less valuable per-hour than that of her educated husband - hiring a replacement for him would cost a lot more than hiring a replacement for her. So the mens' work becomes literally more valuable.
The asymmetry seems to be that the men got educated first. And I think the basic reason for that is technological: The work men did in medieval times was largely about simple muscle power (farming, building etc), and can be automated with simple industrial-era technology. The work women did was based on hand-eye coordination and social interaction (cooking, cleaning, child discipline), and largely still can't be automated very well today. So the men were automated out of their jobs first, which allowed them to spend time getting educated instead of pushing plows, while the womens' work still needed to be done by hand.
Anyway, it's an interesting set of questions. I'd be curious to see what examples of people "devaluing womens' work" actually exist, if anyone can point them out. I'm not sure I've really seen it.