That's just scapegoating bullshit temporarily-embarrassed NIMBYs like to tell themselves to avoid the hard truth that we have to fix the zoning code.

The fact is, plenty of houses exist at reasonable prices in rural areas and small towns. But you don't want to live in those places, do you? You want to live in a big metro area, just like everybody else. Well, when everybody wants to live in the same place you have to build enough housing units for them all to fucking fit in the same place, or you end up playing musical chairs and the ones who aren't rich lose. That's just a fact of geometry and basic supply and demand, not the diabolical machinations of some villain.