I was asking for evidence, not a hypothetical rationale.
It's possible (and likely) that housing in Shanghai, NYC, and Manila just have not reached a supply-demand equilibrium yet, because housing policy still constrains supply. There's nothing requires that demand is effectively infinite in these cities, or that demand will keep growing as more housing is built.
Let's say unfilled demand for housing in San Francisco sits at 100,000 units right now (making up numbers; they don't matter). If we could magically build those 100,000 units tomorrow, yes, I do expect we will induce some more demand, because home/rent prices will drop. So let's say we build another 100,000 units. Maybe we get some more demand, because home/rent prices drop more. So we do it again, but not forever.
Because my feeling here is that the main driver of more demand in SF would be drops in home/rent prices. Those prices can't drop to zero; they will always have a cost, and it seems unlikely to me that the cost will drop low enough -- no matter how many units are built, within the physical constraints of the space -- such that there will still always be unmet demand. And home prices will still always be propped up by housing policy to some extent; the city would never implement unrestricted housing development with no hurdles. But maybe the "equilibrium" price can be something significantly less ridiculous than it is today.