One would then think that dense cities would build more housing, but that doesn’t seem to happen. NYC, SF, and Boston are the densest cities in the country and build barely any housing compared to areas like Houston and Austin.
I also just think it isn’t true that everyone who wants to live in a dense city does. My experience is that a lot of people would absolutely love to live in NYC but can’t afford it, and I think this is primarily because there is not enough housing.