Powered the unit on and went for a walk. I probably went a solid 15+ minutes puffing away and from what I recall the device never did the auto-shutuff. So I think the timer does reset upon application, which I had been skeptical of to start. I cannot remember for sure whether the device reached its set temp which I had set at the maximum. Next time, I'll make sure to check for when it reaches its set temp, and then attentively observe to see if it does an auto-shutoff.
The other thing is, its so easy to turn it back on. And if you do it immediately upon the auto-shutoff, you may drop 2 dregrees F but there is no significant heat loss. I think it becomes an easy habit to turn it back on when you want to.
Then I got home and found the battery was drained and actual temp was dropping. I plugged in the wall-charger with an intention to see if the load was exhausted. I expected to see the actual temp readout start climbing once the power was charging. To my surprise, I saw the charger was charging, but the actual temp kept dropping. I wondered if the device stopped working. It took about 5-10 minutes charging in an out-of-commission state like that, and when I would turn it on I'd just see the actual temp dropping further then it would turn itself off. Then after 5-10 minutes I think it was, I turned it on and it finally started heating back up.
I'm still figuring it out, but I believe it is true that auto-shutoff is reset upon application, and there's a few early observations from one user.