While I agree we don't really know, I think it is quite likely to have a negative effect.

Take, for example, these comments, which are full of people who have left NYC, a place where you can function entirely without a car, and moved to places like Texas and Florida, where you, for the most part, cannot. Sure they might not be commuting anymore (which was likely by public transit anyway), but they are now driving several times a day, likely relatively far distances, when they were not before.