Maybe it's wishful thinking, but I think it will: NY's Democratic governors have historically received a "default" vote from the city's voters (especially when the governor themselves is from the city), and this will challenge that default.
Hochul also hasn't helped herself by spending a bunch of state money (i.e. city money, since the city contributes disproportionately to the state budget) on her own local, i.e. Buffalo, pork-barrel topics[1].
[1]: https://hellgatenyc.com/the-buffalo-bills-just-need-another-...