Since charging stations are private properties in many places, a showcase demonstration of Autonomous Autopilot feature may be activated i.e. a driver comes to a designated drop off area in the station, activates autopilot charging, exits the car and proceeds for food & refreshment.
The car self drives from the drop off location to the charger, the charger connects to the accurately positioned car (simple extension of charger cable/rod might do, pretty easy with robots managing on ground with stationery objects but like jets for mid flight refuelling), charges and the car then sends a ping to the driver' smartphone informing of charge completion and if the driver chooses to delay the retrieval at the collection point, then the car proceeds to a parking area, to free the charger for the next car.
The driver then comes to the collection point as per his/her convinience and the car then self drives from either the charging station or the parking area to be received by the driver at the collection point.
Its software driven, multi-storied automated parking systems function the same way too, you drive your car to the designated area and the lift then gets the car to the available parking spot, when you return, it retrieves your car, just in Tesla' supercharging stations, it charges the batteries too in addition.
For customers, its like a valet at a 5 star hotel, the valet takes your car when you arrive and drops back when you are ready to leave, it's a luxury feeling, just that in this case, it's a virtual valet.
The value comes to both drivers, the one who arrived first and the follower, both save time, both then invest that time in alternative activities and the system takes care of ancillary activities.
In the future when more cars get on the road, it would become more useful as it saves a customer' time if all existing slots are already full.
If we are already moving towards driverless car, why would we want the car to not have the ability to charge itself as us humans then wasting our time to charge the machines would be an oxymoron. It resolves refining and demonstrating autonomous autopilot capabilities over time, acts as an excellent demonstrator for boosting public confidence, happens in private property to negate regulator concerns, by my reckoning a winner on all counts.