I'll answer your survey..... I've tested this a few times over the last week.
Will it stay on for 4 minutes? No, No, No, Yes, No, No
Most times less than 30 seconds to being turned off.
The only Yes was immediately after a long drive and the batteries were charged.
The on-dash display voltage shows 12.4 after driving/charging. A few hours later it was down to 11.9 then the next morning down to 11.7 I don't even know which battery is shown on-dash. Maybe I'll find out soon.
Took it to the dealer this morning. Will take a few days before they even look at it. Really? Just to check the batteries? Yes.