drees: You commented "No need for GFCI on the receptacle used only by EVSE, EVSE includes GFCI.". I believe this is a common misconception that GFCI protection is not needed at the receptacle that a portable EVSE plugs into. You are correct that some (usually limited to ~20ma) GFCI protection is provided by the EVSE, but it is only "downstream" of the control box of an EVSE. This does nothing to protect a user who happens to touch an electrically hot prong of the EVSE input plug (or much less likely, an exposed wire of a damaged cable between the plug and the EVSE control box) while inserting/removing it into/from a receptacle (either twist lock or straight blade). Only separate GFCI protection (of the typically much more sensitive 5ma variety) via a receptacle GFCI or circuit breaker GFCI can help prevent shock IMHO (together with eliminating grounded objects near the receptacle which if also touched completes the circuit to your body).
On one other issue you raised: you wrote "EVSE won't function without it [a connection to ground at the receptacle.].". True enough. However, my original point (on which I should have elaborated further) was that the photos seemed to show only two wire cables being used at the receptacle in question, which to me meant a short pigtail must have been run from the neutral (which should normally connect to ground) to the receptacle's ground connection. This approach is NOT considered acceptable (it was allowed for ranges and dryers up until the 1996 NEC) especially for a string of 15/20a receptacles for this very good reason: should the neutral become disconnected between the breaker panel and the receptacle in question, then when a device connected on the same circuit downstream from this break in the neutral is attempted to be turned on, this makes this downstream part of this neutral electrically hot including ALL the "equipment ground" connected parts (like perhaps an outside metal frame!) plugged into receptacles using the same defective grounding method whether or not those devices are turned on! Exactly what you DON'T want to ever happen! This is a subtle point, but a very important one to understand, I think you will agree.
On one other issue you raised: you wrote "EVSE won't function without it [a connection to ground at the receptacle.].". True enough. However, my original point (on which I should have elaborated further) was that the photos seemed to show only two wire cables being used at the receptacle in question, which to me meant a short pigtail must have been run from the neutral (which should normally connect to ground) to the receptacle's ground connection. This approach is NOT considered acceptable (it was allowed for ranges and dryers up until the 1996 NEC) especially for a string of 15/20a receptacles for this very good reason: should the neutral become disconnected between the breaker panel and the receptacle in question, then when a device connected on the same circuit downstream from this break in the neutral is attempted to be turned on, this makes this downstream part of this neutral electrically hot including ALL the "equipment ground" connected parts (like perhaps an outside metal frame!) plugged into receptacles using the same defective grounding method whether or not those devices are turned on! Exactly what you DON'T want to ever happen! This is a subtle point, but a very important one to understand, I think you will agree.