I don't know you, so I don't know whether you've read the books, or how much. I find it spot-on in terms of reflecting Gollum's inner life. He sees himself as a victim, is very sorry for himself... and at the same time is a very sorry, sad, tragic figure. He thinks he's been betrayed when he hasn't been, but he has been betrayed and tortured, and was in fact betrayed by the Ring he so worships.
Art's a very individual thing, and it may not be your cup of tea. But it synchs with the book's Gollum, to me, hauntingly.
Dan
Actually I am myself an artist. And I have read the books, I read all three in 2 weeks because I couldn't put them down and I read The Hobbit previously. Gollum and Gandalf are in my top three characters in the series. So I said what I said with full knowledge of the story, and art IS my cup of tea. Gollum is a tragic character and I do sympathize with him but I don't think he is as whiny as that song makes him out to be. I think he is mentally disturbed and I feel very badly for him to the point that I hoped he might be redeemed in the end. I was sad when I turned a page and the story left him. Gollum is such a masterful character and infinitely fascinating to me. I'm sorry if I don't dig his song as much as other people might.
But that doesn't mean that I don't like the movies either, actually FOTR is my favorite film of all time and I can barely stand waiting for TTT.