They are supposed to - but anyone who lives in NY has stories of when they don’t. There’s a lot of ID “sharing” among drivers with friends and relatives who may literally have arrived in the country a few days or weeks prior. It’s probably even more of a problem now when drivers have to work even longer hours to make up of the business lost to uber and lyft.
Some of it is also the fare maximization strategy that is so common among drivers taking people to and from the airport via “creative” routes in order to make more money. Anyone who has traveled has experienced that.