actually, for me there's nothing wrong with the word "remix"--for some people it carries the connotation of "dance remix" but taken literally it only means something was mixed again. As long as the original source tapes were used, as they were in this case, that description is appropriate, I think.
Live versions vs. studio recordings is a whole debate in itself, but comparing them directly is really comparing apples to oranges, in my opinion. They are two fairly different disciplines, both for the performer and the engineer. But it's worth pointed out that live albums are "mixed" too.
Personally I can't stand the 1996 version of DDIO. Those first chiming guitar chords of the original, with the delay and reverb effects, is so ingrained in my head, I just hate the way the guitar was mixed in the newer version.