Not just the dominance, but the legal requirement for.
Height restrictions, floor area ratio, lot coverage, setbacks, parking minimums, square footage minimums, lot size minimums, and lots of other zone requirements all contribute to a floor on the price of housing.
There are plenty of really good requirements like firebreaks and egress points, but not everything should to be enforced by zoning. Many of these things should be allowed to be controlled by the market. If people truly want 2 car garages and 1/2 acre lots they can pay for it. Making it the legal minimum to construct massively distorts the market.
Zoning massively benefits the existing occupants of a location and when there is a housing crisis just makes matters so much worse.