There is no functioning market to begin with. Housing prices and rent are through the roof in California, yet supply is not rising to meet demand, largely because existing owners oppose new construction. Turnabout is fair play. If owners organize politically to control supply, tenants can organize politically to control prices.
It's worth considering California building code in the cost of new construction.
In California, 25% of a new SFR is land. Another 25% easy goes to permits and municipal utility connections. 40% construction costs (including paying the boss a salary), and if you are lucky, 10% profit. Simply reducing permitting costs and streamlining the process to reduce holding costs (without even easing restrictions, just being more efficient/faster at the municipal level) could shave 20% off a new home price. That would drive down all home prices to some extent and open up a large number of people to get out of the renters pool.
So CA government is the major player to blame for housing costs, and these laws are in place of just doing their jobs well. This might drive prices down too, eventually, but not nearly as quickly or fairly as bureaucratic reform would.