OK, my curiosity got the best of me here and I just had to bite. Probably a colossal waste of time, but here goes...
A quick Google search reveals some YouTube videos to study of the shots. I used this one:https://www.youtube.com/watch?v=hHC_R7ATGuI
At 19 Seconds in, I'm pretty sure that he is somewhere on Teton Pass below Mt. Glory. That looks like Glory Bowl in the shot. I'd say he was either in the Crater Lake area near the old highway, or maybe above the new highway in the Phillips Bench area.
As far as the summit, I know where it is NOT. The Google references to the question all claim the Teton Glacier. That is unquestionably false information! In fact, never at anytime in the footage is he on the Teton Glacier.
So, here is my guess as to where he actually ends up. (Researched in Google Earth using the same panorama has the movie shots). Unnamed Peak, Peak 10920 in the southern Teton Range. I'm not sure of this, but it is a pretty good guess and the other hint is I think the one distinct peak that you see during the pano is Fossil Peak, to the NW. Based on angles of the sun and the shots, I would say that is it. Here are the coordinates if you are interested.
LAT = 43°34'2.00"N
LONG = 110°54'17.84"W