Forget cycling the ignition when there is a charging problem. The cause is moisture.
Mini, are you not doing the main work in southern California? What "The Firesign Theater" called "the stinking desert"? You guys need to take a Mini E up to Seattle and drive it around in the rain until you see this charging problem. Here is what happened to me tonight, and I have seen it before:
Come home in the rain, wipers on fast for much of the drive.
Plug in the car.
The RED light comes on steady on the Clipper Creek wall mounted safety box. (The GFCI tripped, but I ask that civilians please do not open the box to look at the LEDs.)
Unplug and plug back in, same RED light. Sound like moisture to you?
Try it again, the Clipper Creek box stays on (GREEN light) and the car starts to charge but stops after 5 seconds. OK, something dried out enough to keep the Clipper Creek box happy but the AC Propulsion electronics in the car sees the leakage now.
Unplug, try again, same thing.
Turn down the current to 12 amps, same thing. Of course if it is moisture, the leakage is related to voltage, not to current.
So I get out the low voltage charging interface, the portable 120 volt box. It charges fine.
After 30 seconds I switch back to 240 volts. The car stops as before with the Clipper Creek wall box still on.
Switch back to 120 volts, where presumably the leakage current is lower and it does not set off the safety trip in the car. Let it charge for a couple minutes while presumably drying out whatever got wet.
Switch back to the 240 volt wall box, and all it well in the world. It keeps charging.
Turn up the current to 50 amps. It keeps charging. Of course, since leakage is not related to - what? Yes, not related to current but to applied voltage.
OK, Mini, you have moisture infiltrating on the AC side of the Power Electronics Unit (PEU). My guess is either at the connector to grid power on the back drivers side, or under the hood at the PEU. It cannot be after the PEU because the voltage is always the same on that side, only the current changes. And we know that leakage is proportional to what? Right, the voltage.
Is it time for the big caulking gun? Maybe. Mini just needs to get it right on the production cars, I can deal with this. This car drives more confidently than any other car. Period. I can deal with slight lack of confidence in the charger.