Continuity mistake: In the opening scene just before Victoria descends into the cave, she's wearing two headlights, the bigger one is on her right side and the smaller one is on her left side. In the next scene while she is talking to Josh, the position of those two headlights changed. (00:15:10)
Continuity mistake: When Victoria is about to abseil into the cave she is abseiling right handed (i.e using her right hand behind her to brake). In the next shot when she leaps and begins abseiling, she abseils left handed. There is no time between shots for her to move the rope to her other side and change hands. (00:14:45)
Factual error: Josh abseils forwards into the cave and in the next shot is seen coming alongside Victoria, in the standard seated abseil position. This would not have been possible, due to the design of his harness, without moving his abseil device from his back to his front. This would have involved him removing the device completely and then re-attaching it to the front of his harness which would be impossible during descent. (00:15:20)
Chosen answer: Being someone who uses the PETZL Duo headtorch (the light used in this movie) I can say that yes, the LED option lasts MUCH longer than the standard bulb.