My parents’ generation comes from a country where it’s common for married couples to live with the parents. All the cousins who are economically able to moved out to their own house. The only married couples living with their parents are the ones whose parents can’t afford to live alone, or who themselves can’t afford to live alone.
And unless more soundproof rooms become the norm, I can easily see why a young couple would not want to live in the same house as their parents. Most Americans houses are drywall, and nothing in between and sound really travels. As far as I can tell, having parents down the road, but in a separate house is the ideal.
But, even if you do live together, that work does not happen automatically by itself. Someone actually have to spend additional time doing that additional care work. Just living together wont magically provide care without someone spending additional effort.
But yes, you’re right that the weight of that family care role would typically fall on the woman. I’m hoping that continues to change. I’ve seen real movement in that direction through quarantine as families have been forced to face financial realities.
You also cant ignore gender in the aspect of "who is the one with income and who is the dependent one seemingly spending money he earned while seemingly not working". The ressentments the stemed from that and unsolvable dysfunction made too many families life into suffering.