I'll send you a PM shortly Lemonade. The fan edit has some good ideas, some of the reinserted scenes are great for the characters, a few of the musical cues are horribly balanced and unneeded. (In particular a usage of JG's Alien theme that plays when Janek finds the Juggernaut... Oi. Not fitting at all.)
As far as the TED talk, I think it works in the context of what the fan edit was trying to do. it moves the focus more towards Weyland/Vickers. Guy Pearce's presence is much heftier, as is Idris Elba.
And yeah, the Cave scene is redundant. It's not in the fan-edit, and you don't miss it's absence.