The video initially shows a wings level descent which indicates the a/c was under control, but seriously short of power over hostile terrain.
Fuel not getting to the engines would be more likely than two near simultaneous
mechanical failures.
I can understand the crew desperately needed at least one engine back, but may have been too slow to maintain control if an engine suddenly produced thrust.
One can understand why they would stretch the glide as the terrain was as hostile as it gets.