That's short sighted and incorrect. Rental is only going to cost more than ownership if multiple people aren't sharing the cost, but the whole point of autonomous cars defeats that idea, renting will be vastly cheaper than buying.
> but personal vehicles are not going to go away.
For the vast majority of the population, yes, they will go away.
That's not good analogy (living in hotels), better would be to compare how many people own their flat/house and how many rent it. Which would imply that a lot of people will still own their car ...
Why should rental be more expensive by definition? A fleet of autonomous vehicles can operate 24/7. Your own personal car gets a trip to work and a trip back home every day and maybe another round trip to an activity or chore.
By definition rental is going to be more expensive than ownership.
I don't doubt that companies will have fleets of cars for their employees, etc, but personal vehicles are not going to go away.