Nah, self driving electric vehicles with 6 seats operating on an UberPOOL model will dominate, and it wouldn't be surprising to see the UberPOOL model be extended to a subscription service as well where you simply pay a commit for the service level each month, get an included number of trips, and a further discounted on trips over that number.
Having the commit will make it maore feasible to fund vehicles that are intended for a specific area, and the pool model allows Uber to recover margin during pricing surges and users who don't want to pay the commit (after all, the discount on the fare would only apply to the portion of the pool fare ascribed to the subscribed to the passenger).