I suspect that it shuts off a few minutes after you exit the car, just like the front outlet does. One way to tell for sure is to plug something into it that's visible from outside, lock the doors, and come back in 15 minutes to take a peek through the windows to see if it still had power.....
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2015 BMW i3 BEV, Giga World (Lodge interior), Tech/Driving Assist Packages, 30K miles
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