Earlier quoted context omitted.
High housing prices do reduced demand, just not by much. People living with roommates or parents are example of people priced out of the market. This is demand reduction.
No, that’s a just lower quantity demanded, not lower demand; demand is the function mapping price to quantity demanded. Its possibly that price level could over time effect actual demand (as well), that is, it could convert people who would buy at price $X to people who would only buy at a price lower than $X or not at all, but that’s not what your example is. (It does, actually, induced demand from availability it o…
If you want to think about absolute demand for housing in absence of a price reference, the demand is enormous. If houses cost $0, I would probably demand three or four large ones for myself before getting to the point where I refuse a free house.