trident missile ascent is wrong.
Been there. Done that. I was amazed how quickly a nice easy ascent from 78' became somewhat of a launch, or pop up!
I never actually trained on a BCD, having learned before the darn things came along. I had not learned how to hold the hose as high as it required to actually dump air. I understood the fundamentals, but lacked the on hands experience with the new tools and techniques.
It does not take hitting the wrong button to become launched, because in my case I WAS venting, I was just not holding the hose high enough to vent correctly.
That first dive I had on a BC was using a rental on an unplanned trip, and I really should have known better than jump into new gear, without training, but back then I was young, dumb, and damned near invincible, or so we all think at that age.
Reading this thread it is pretty easy for me to imagine that the first diver in OP's incident was simply excited by his free flow, and not venting correctly. Once you begin that ascent from 80-85', if you do not vent things well things can start to happen pretty damned quickly, and popping up can be the result.
Luckily it sounds like things worked out much better for OP and his students, than it did in my case, but they were at the beginning of their dive, while my accident was after a @30 minute dive to 78', and I was pretty badly beat up by the event.