I’m in Seattle, not NYC, but this is an almost daily nuisance for me, both as a driver and as a pedestrian. Cyclists in general seem to have an attitude like rules and laws don’t apply to them. I see them blowing red lights, disobeying all-way stops, and nearly running over people all the time.
In my experience in cities where cycling is built into the architecture of the city, most do tend to follow the road rules. However, a pedestrian might still find it rude if a cyclist were to pass close enough to brush shoulders, or a driver might find it rude for a cyclist to lane split.
From my perspective that kind of "rudeness" is just part city life, though, it's not really something exclusive to cyclists.
On the rudeness aspect though, I do find cyclists in general pretty rude. I've even seen cyclists that seem to outright seek confrontation by putting themselves in situations that are unfavorable to them. For example, the other day I observed a challenging traffic situation and a driver had to stop mid turn at a corner. A cyclist was coming and saw the whole thing happen, but they still positioned themselves such that a "hook" accident could occur once things started moving again. As soon as the car started moving to complete their turn, the cyclist also moved forward and started arguing with the driver. It looked pretty clearly premeditated.
Bicyclist has their kid mindset of rules not applying to them, I believe. Also they go closer to pedastrians than they would with a car.
It maybe just that bicycles are not that good in dense cities. In my small home town there was enough space for both bicycles and pedestrians.
The difference is that cyclists don't kill people, and actually get hurt when they do stupid stuff like this. Cars often just drive off.