Why isn't it a bottom/base charging devise? I imaging placing a plug at the bottom of the car (perhaps at the back or front of the battery pack) isn't difficult.
This is what I think they may secretly be working on for instant charging. Like you stop by a Tesla Super Duper station, and the battery in part or as a whole is just hot swapped with robotics and you're on your way in say 5 minutes
http://www.latimes.com/business/autos/la-fi-hy-tesla-battery...