No we won't, because the limit of zoning and land doesn't allow us to get anywhere near that equilibrium. Your statement would only be correct in a world with infinite land in the Bay Area. But the equilibrium for "fewer" units in San Francisco might be (for example) 50,000 new housing units per year, but you're lucky to get permits and land for couple thousand.
> Things aren't built to the maximum of the zones - they're built to what's affordable by developers attempting to get permission to build.
This is missing the point. 100% of the land that can pass the community review process is profitable to build on. Even with "affordable housing" requirements. Even with reduced developer profits. If you can build on it, you're gonna make money. Therefore, the limiting factor is land; the effect of affordable housing requirements is to lower the windfall profits of any developer lucky enough to get by community review.
> It doesn't matter whether housing is affordable at market rates because we build things that are affordable, or through building so much luxury houses that there's so little demand for existing buildings that they now become affordable.
Right, everyone who understands math understands this. The issue is that if you don't have land you can build on, you can't build. And if you do have land you can build on, you're gonna make money. Affordable housing requirements do not decrease the amount of net construction, they just move windfall profits from the developer to a few lucky random people.