Someone will still need to manage the fleet of self driving cars. Who is going to fill them with gas, do routine maintenance, clean them after some drunk dude puked all over the back seat, etc?
I agree someone is going to need to clean them out though.
You could outsource the car cleaning with an agreement at any full service car wash.
One doesn't even need a physical presence anywhere to make the business work.
While high-capacity electric vehicles like a Tesla wouldn't be able to wirelessly charge, it should be trivial to build a physical dock they can connect to with no human intervention (similar to how SpaceX designed the DragonEye mating connector for autonomous mating to the ISS).
There will be significant power losses (10-20%) and alignment issues.
One thing I really like about the whole inductive road concept is that it totally removes the need for a battery, one of the most expensive parts of an electric car.
You'd basically have a full-size slot car (if you remember those) track (but without sliding contacts).