According to this there are 1 million rent stabilized (not controlled) units in NYC: https://ny.curbed.com/2017/4/13/15264890/nyc-apartments-guid...
If that's accurate, it's a little bit more than a rounding error.
Ultimately there has to be a balance. Throwing out long-time renters isn't a great idea but nor is capping prices to decrease inventory.
Personally I favor construction reform -- I mean, look how expensive that 1 mile of the 2nd Ave subway was. It shouldn't be that expensive to build in NYC.
> According to the 2014 NYC Housing and Vacancy Survey, there are about 27,000 rent controlled apartments vs. about 1,030,000 rent stabilized apartments.
Like you say, rent control is very different than rent stabilization. Rent control limits the actual rent. Rent stabilization limits the annual rent increase.
Rent stabilization doesn't really account for extra stickiness in the housing market (in other words, it doesn't meaningfully decrease housing supply). Rent control does but again, since there are so few of those it's basically a non-factor.
If you are concerned about affordability, the focus should be almost entirely on barriers to housing development.