You can shift supply by e.g. changing zoning. Now you have more resources. But it doesn't change the equation, so eventually you might end up in an even worse situation were it is even harder do the same thing again. The even bigger problem however is that you don't necessarily get choose what should happen. Or maybe something is already shifting demand, like demographics.
You build for density until you hit the actual physical limits on density, and then you have a claim to the infeasibility of housing everyone where they want to be. We are so radically far away from such a threshold it is laughable, in much the same way some purport our understanding of the universe is nearly complete, or that we have near total mastery of our planet - neither are remotely close to happening and are just hubris on the part of those who can't comprehend how much more there is left to do.
We could have cities hundreds of stories high, entire populations housed in glass pyramids taller than Everest, population densities in excess of a hundred thousand per mile. And that doesn't need to imply poverty, squalor, or suffering - we are fully capable of building dense well. It is an independent knob of consideration that only shows correlation today because of cultural motivations and social pressure to make dense housing suck to punish the poor because only the poor live in dense housing because dense housing sucks.