It’s also important to remember that rent stabilization is not rent control - landlords are free to raise the rent by an amount set annually by a board of landlord and tenant representatives. As a practical matter, that means that the rent increases track closely to inflation and consumer prices.
What it protects isn’t rising rent, it protects tenants from landlords jacking up the rent to kick them out, and then lowering it back again to get tenants of a different age or ethnicity, or saddling tenants with the risk that if they advocate for their rights as tenants that their lease may not be renewed next year.
It’s easy to say “price controls don’t work” while ignoring that the landlord / tenant relationship is so skewed from a power dynamic that there needs to be some sort of protection from abuse.