I suggest all affected hosts to protest this move, which could be unconstitutional, by NYC, by considering the concept of "GIGO", eg, garbage in, garbage out.
As we see with guest profiles all the time, some guests do not use their real name on their account. It's possible to call Airbnb customer service to have your street # taken off the address field, which some hosts have done due to concerns about their safety.
If AIrbnb doesn't have the hosts' full name and full address, then what the city gets is not the full name and full address.
Mass protest in this direction could be a good way of resisting mass privacy violations by government.