The entire film is touched, but I'm not sure how consistently. But your eye can adjust for the green cast more easily in some scenes than others, and some scenes already may have had a different color cast originally that the green balanced out. Luckily the other two films are not like this, unfortunately Fellowship is my favorite of them. There's definitely not a single pixel of pure white in the entire Fellowship (unlike the other films, including Fellowship flashbacks), that's been shown elsewhere.