Okay, this problem finally happened often enough and consistently enough for me to be able to do some troubleshooting. It would do it two or three times, then not at all for a few days, then two or three times. Usually, it would restart immediately, but not always.
Day before yesterday, it did it 15 or 20 times, and NOT WHILE BLOCKING THE HIGHWAY!
It would die when you tapped the throttle, and not restart when you hit the starter. When I screwed in the override screw, it would restart, and run fine. Unscrew the screw, and it would die when you hit the throttle hard and not restart until you screwed the screw in. As long as the screw was in, it wouldn't cut off. As soon as you screw the screw out, it would do fine with everything except a hard tap on the throttle, then it would die and not restart until over ridden. It suddenly straightened up and has been fine since.
I did not have a way to measure voltage at the fuel solenoid, but I examined and wiggled all the wires involved and could not come up with any scenario where pressing the throttle hard would cut electrical power, and nothing else would.
My current theory is that with the pressure surge the shut off closes. That great video says that the shut off is on the discharge side. I guess I am going to go ahead and change that solenoid and see if it cures it.
Now I'm about to start another thread about a pickup I'm probably going to buy with a similar problem.