I don't think the democrats in NYC government care. All they want is for money to flow from their donors, and that's not coming from low-wage Uber drivers.
That would leave two classes of people: those with money/wealth and those without. New York would get to a point where the number of people without money/wealth would far outnumber those with. Those with money/wealth would see their taxes continually rise, eventually driving them out of the state (shrinking tax base.)
New York would go bankrupt after amassing an insurmountable debt which it would be unable to repay and that's when the fun really starts.
Think it can't happen?
It's happening right now in Illinois. I live here, I see it every day. All it'll take here is a few more big companies to leave the state to tip things permanently in the wrong direction and it's game over here.