@TypeRD it does flash when you do. I vividly remember as both times it happened was when I was around a LOT of people watching me leave. I'm sure there is video of me doing that somewhere lol.... :oops:
The car will shut off if left idle for around 20 minutes or so. It happened to me twice at hot events where my wife and I were cooling off. It's normal.
As far as turning off immediately after starting it, is it possible you let off the clutch a skosh too soon? I've done that a couple times.