Again maybe its a geographical thing since I don't live in NYC, but I have visited several times, so i have narrower perception of this. My view and experience is that its far more likely that engaging with a random stranger that they will either politely ignore you, go on their way than react unpredictably and/or try to scam/hurt you. Similarly, its more likely that they will respond to you (even if its a throwaway reply and thats that) than react unpredictably. A society where those two statements aren't true doesnt exist as it would be complete chaos with no interaction between anyone at all