Tomb Raider Anniversary Great Pyramid shaft climb "hard" bit

This bit is apparently troublesome for a lot of people, so I've put up a video of it being done (without shortcuts) in case there's something other people are missing. This is my first attempt at it in this playthrough; in other words, the few screw ups in this video are the only mistakes I made at this bit. Main advice: ALWAYS THROW THE GRAPPLE AS SOON AS POSSIBLE! I used the 50. caliber pistols and forgot they aren't available in the actual game at Atlantis, the combat isn't the focus anyway.