You don't even need lobbies. Anyone who owns a house isn't bothered by this, unless they are particularly fair-minded. It only affects people who don't own their own home, which is a much smaller voting group.
Not only are they not bothered. If they are even slightly aware of the situation they know it's in their financial interest. And if they are not aware of the economics most still have a bias against new construction especially high density in their area, because of the "nuisance" that construction will cause.
