Earlier quoted context omitted.
Or if everyone moves towards self-driving taxi's, then the car takes you to work, then takes someone from near there somewhere else, etc, so you're really talking not much more extra driving, but saving tons on building fewer cars, fewer parking lots, and economies of scales for buying gas and maintaining the cars.
That won't help. Everyone in the area will likely be travelling to work around the same time.
Of course, in actuality there would be plenty of people who would demand their own private car out of principle.