Not sure which one he's talking about. The old New York that built a wall at Wall Street as a fortification between the white settlers and the natives? The old New York of the Gilded Age, with its Astors and Coopers and big hotels and elevated trains?
If that's what they miss, they're in luck! The city's rookie mayor is cut of the same cloth as previous New York politicians who have let crime run rampant, instituted confiscatory taxes, and used the whip of social engineering to drive businesses and the middle class out of the city. When you have no middle class, you have to suck up to the rich, because they're the only ones left with any serious dough. When you have no middle class, and you have nothing to offer the rich, you have to get money out the poor, and the easiest way to do that is by appealing to the lowest possible motivations---booze, drugs, sex, violence.
A lot of people hate the prettied-up chain-store-driven Times Square. A lot of people have short memories.