It hasn't panned out that way at all however, it's just great for everyone.
OK, actually not everyone. There's one very specific group that this sucks for, which not-coincidentally was the group that was loudly opposing it using the excuse you tried.
That group is people who work for the city and/or are connected so they get free daily parking. That's a lot of cops and firefighters and various city functionaries at various levels and agencies that have been able to get their hands on parking placards. It's a core NYC subculture and they were the annoying loud voices that tried to stop this.
Almost anyone who was driving into central Manhattan and paying for parking already is thrilled by this, it's only a little more expensive and in exchange they shave hours of traffic out of their commutes.
It's the people that were gaming the system to get free parking that are suddenly screwed. Fuck them.