I think the distribution of ride lengths might partially have something to do with the nature of cab hails in NYC vs. other cities. I travel a lot, and in most cities, uber is my go-to cab service, because I don't know the local cab system, I might have to call multiple companies, I can't street hail in a lot of places, etc.

However, in NYC, it's often faster to street hail a yellow cab for short trips than it is to wait for an uber. So here, I mostly use uber for long trips (airports, midtown to the financial district, brooklyn, etc.) or for time-sensitive situations.