First off, just because the market is overheated that doesn't mean you buy in. Right now a smart person would be saving money in cash for when interest rates go up or the housing market crashes (both likely to happen soon, one will directly lead to the other). There will be deals soon enough might just take a year or two to materialize. Still plenty of houses out there which are affordable even with the current market situation. My one friend is looking at buying a 150k home on a large double lot at the moment. Long term it might subdivide the lot (50k of profit there) or build his dream house on the other lot and sell or rent the house that is currently there. Again its all about where you choose to live. I have lived in more expensive cities, I chose to move where I did.
Secondly I am making reasonable guesses (which is all these can be) based off of realities on the ground. You are also working with assumptions, the largest of which is that they would be making 55k a year average. Odds are most stay at home parents aren't making 55k or more a year. Odds are they are going to be working more towards the minimum wage side of things.
Income of individuals by age group, sex and income source, Canada, provinces and selected census metropolitan areas, annual.
www150.statcan.gc.ca
In this chart which shows women from 2015-2019 in the age of 25-54 your median income for 2019 was 42,900$. So your 55k a year number is already way to high. Even at a average of 42,900 I suspect many will still be earning less than that as again this is based off your top earners and lowest earners in there as well, and I figure most staying at home would be in the lowest earner categories. Likely most would be making minimum wage to the low 20s if they were to rejoin the workforce. Not saying you won't find a few examples otherwise, but most cases that is how it ends up being divided.