For what it's worth, I've been charging my Chevy Volt using the 120V J1772 cord (that came with the car) for 10 months through a double GFCI setup without any problem. The GM charge cord has a built-in GFCI and I have it plugged into a garage outlet which was already GFCI protected.
I also bought a portable GFCI adapter for travel use and used it a couple of times recently where it protected an extension cord leading to the GM charging cord. No problems there either.
I also bought a portable GFCI adapter for travel use and used it a couple of times recently where it protected an extension cord leading to the GM charging cord. No problems there either.