This is the problem with housing subsidies: they very often go to those who don't need them. In New York, your choice of apartment is primarily based on location -- anything that's not in the >$1 million range is pretty similar. So if you're looking at two apartments near your work and the rent stabilized one is $1200/mo and the other is $3000/mo, you try to get the $1200/mo one even if you could afford the $3000/mo…
Not necessarily disagreeing with you. But the practical meaning of that is that, in the case of New York, this means the entire island of Manhattan becomes a playground for the wealthy and the people who keep that playground humming are relegated to the outer boroughs.
I would very happily pay more for services that get more expensive because workers demand higher wages for their longer commutes (etc.), in exchange for the drop in market-rate rent (which I pay) that would come from throwing out rent regulation.