First, renting is supposed to be an option for mobile people. Renters' mobility is more important than homeowners' mobility, who have self-selected to be somewhere for a while.
Second, rent control generally makes you more and more stuck each month. Selling your home and buying a new one is a one-time hit, and if there is sufficient motivation, it will happen after a while (technically, brokers' fees increase with the home value, but they are 6% or less, so doubling the broker's fee is a lot more palatable than doubling your rent).
Third, home ownership offers other options, like renting it out, if Prop 13 keeps you stuck with the house.
Fourth, home ownership is not subject to the tension between a tenant and a landlord who doesn't want them there.
Second, rent control generally makes you more and more stuck each month. Selling your home and buying a new one is a one-time hit, and if there is sufficient motivation, it will happen after a while (technically, brokers' fees increase with the home value, but they are 6% or less, so doubling the broker's fee is a lot more palatable than doubling your rent).
Third, home ownership offers other options, like renting it out, if Prop 13 keeps you stuck with the house.
Fourth, home ownership is not subject to the tension between a tenant and a landlord who doesn't want them there.