> The shortage isn't about the amount of available housing at all, it's about people's ability to live there too. And if you're just doubling the building heights, you haven't talked about wages or ability to live there etc.
How is the housing shortage not about the amount of available housing? Wages don’t need to increase if housing prices fall as a result of an increase in supply. If the problem isn’t a shortage in housing, it wouldn’t be a housing shortage.
I also don’t agree with the commenter you were replying to; it’s a naive assumption that height limits are responsible for less construction. More likely, it’s hard to purchase properties, tear them down, and rebuild higher. This would be solved at least partially by what we call a “land value tax,” which incentivizes economically efficient use of the land [1].