Even if they aren't paying any drivers?
Once Uber goes self driving, they take on responsibility for all of these logistical activities, and they currently have no capability and capacity to do that. These activities only scale so far.
Why would they need to do that. They're a software company, they have explicitly demonstrated no motivation to take on this work.
It's really not hard to envision them partnering with an existing bricks and mortar to provide those services - e.g. car rental companies provision through their hubs, or uhaul steps into the game and their franchise owners become uber hubs.
I really feel this is the obvious endgame, but who is to say.