I don't think that's the same class...at 5:04 they're running a jump, and video posted earlier was a basic cave class.
Looks like a lost buddy search to me.
To the OP:
Running a reel into the ear is a rite of passage for cavern and intro students and you do need to enter the ear negative or you won't make it in. Or at least I can't. Once inside and tied in, as someone mentioned, you become neutral and pull and glide high up on the left wall.
I have seen people with exemplary skills in open water who go out of trim and lose buoyancy control when confronted with high flow for the first time. I think you should give the student a break. Clearly single tank yellow fins is not ready to move on to apprentice/full yet but as long as she sticks to limitations she probably won't kill herself or screw up the cave. This was "Intro" to cave after all.
It looked like a good class from my perspective and should not in any way reflect badly on the instructor.