Just a quick quip: To me, the problem with the single POV, whether it's the Ring, Frodo, Gandalf, whomever, is that one tends to the see the movie in a different light. It's like that "Blair Witch Project" film (didn't see all of it, though my wife did) where the different way of telling the story becomes the story. No one really cared how much sense the movie made (my wife, expecting a thriller, found it to be silly) because it was "different."
PJ may have wanted to not let
that become the story - especially in terms of 'press' and 'word of mouth' - as that may have made the second and third movies more difficult ("Hey, we had a single limited POV in FotR...where's it at in TTT?"). Plus, the multiple POV allows him to introduce more characters in a leap frog-like fashion.
Plus all of that flitting around is perfect for all of us with 15 second attention spans...