The same thing happened in STIII, the "flight recorder visual" showing the end of STII, complete with all camera angle changes we got in the movie. And the Talosians were kind enough to project images with similar camera angle changes and even the cool intro fly-in shot, in "The Minagerie"
It's just one of those things. The Into Darkness
trailers show something a little more realistic - a kind of rewindable live Google Street View. But such a thing wouldn't have been possible to depict in the 80's.