I've seen the movie more... so that is probably my over riding impressions.
I have read the Sam/Smeagol/Frodo scenes alot, mostly because I think they are wonderfully written, funny, and very, very good. In fact, to me, writing doesn't get any better than those three going through Mordor.
That is exactly what I am talking about. The movie tends to drown out the book to a varying extent, depending upon how recently you have read it and how firmly fixed you are able to keep it in mind as you watch.