This is a very different situation in NYC.
1) Most people live in apartments, therefore a person who is an approved tenant is now inviting an un-approved tenant to take there place, giving them access to the building and common areas.
2) More importantly most NYC apartment buildings are co-ops and not condos. They are usually selective about owners and have appropriate sublet policy. Most Air BnB type sites would violate the sublet agreements in co-ops.
There need to be some protection for those that live in apartment buildings and don't share the same feelings about short-term sublets.