I think it is more "The future of cars is not _everyone_ owning one." The point is that most cars spend most of their time sat, parked waiting for a single user who is also usually the owner. This is inefficient. I'd rather the car I owned was out earning money while I'm sleeping/working and available just when I need it.
Uber has the right idea, and those that own cars will become part of their network.
Two other industries I see impacted; car parks - my car doesn't need to remain near me; home delivery - thanks, I'll send the car to pick it.