And what a book... But let's not disagree on matters of taste.
It still remains physically impossible for Picard to carry the corpse up there. The way Kirk's fall was edited, he fell twice the height of the mountain they used for filming. Most of that was along a sheer cliff face, traversible only with the help of the near-vertical ladders Soran had installed. A fireman in his prime couldn't have done it, let alone a winded man in his seventies, under the desert sun, without as much as a supply of water.
It makes a world of sense for Picard alone to climb up there, away from the stench of the corpse, and watch the horizon while waiting for the rescue shuttle. And while he's at it, why not erect the memorial? But hauling up the corpse is a different issue altogether.
Timo Saloniemi
Well Kirk's body wasn't going bad in a few minutes time and I think in the original ending Kirk died on the bridge at the top, they went to that part after they put in the altered ending.
http://memory-alpha.org/en/wiki/Image:Kirk_shot_in_the_back.jpg