I think the battery "box" is ~200 pounds with most of this being fans, and electronics, and case.
I think the battery cells are ~50 pounds? What is your guess? Ford says 2 button press ( 16 minutes ) is typical to get the HV battery up to snuff. I'm not saying there is not a 330v step up. I am saying for sure this process heats the battery. -John
P.S. any SOC change is too small to register on the Ford SOC dash display... or like you say with grid-charging, maybe the electronics cannot keep track? But then again, personally, I have never had my car less than 20% SOC. ( and the dash is scaled to read 40-60% )
P.P.S. I have seen 31% SOC with a ScanGauge in my car, and others have had 24% SOC in their car, and the car would not change SOC with the "mystery button" in this range.