It really depends, there’s just a huge variance in city layout and regional cultures, so going from one to another can completely change things. Someone who likes the way things are in NYC isn’t necessarily going to like living in Orlando, Houston or Los Angeles, and won’t find the same culture. Heck, even within the same state, they can be pretty different.
That’s definitely true for many Republicans, but I think a successful term as mayor for Zohran has potential to really change things for the Democrats. If, after hearing from establishment Democrats for decades that the only way we can change things is so incrementally, not only can we not make progress, but we actually have to accept going backwards pretty often, you have a mayor who delivers some fairly sweeping changes, it could open the eyes of many Democrat voters to the lies that they’ve been fed by party leadership to excuse themselves for sitting on their hands while things fall apart around them.
I kind of doubt that Zohran will have the same arc, since he’s campaigning directly against the vested interests of the owners of our major media outlets. I could see him becoming an outside force too large for them to ignore, who ultimately forces them to change tactics, though.
At the moment, he’s an outlier of a candidate for them to try and beat down, and the mainstream media will fight tooth and nail to keep him that way, since him inspiring a broader insurgency of proper leftwing candidates to challenge “progressive” establishment Dems represents an existential crisis for them.
A successful term as mayor for Zohran could well sound the death knell for them if it leads to either a Tea Party style takeover of the Democrats, or produces enough momentum to lead to a proper third party that unseats the Democrats from their position as the GOP-lite party of controlled opposition. Imagine what could happen if those media organizations had to face a properly funded public broadcasting service, for example, that gained broad purchase amongst the public.