In The Dark Knight, Batman caused the Joker to fall from a building but he saved him from falling in the end.
But in Tim Burton's Batman, Batman was the one solely responsible for Joker's fall.
Both scenes have some parallels as initially Batman caused the fall which even looked similar but in Nolan's version (except the body position was reversed), he saved him. So why did Nolan make this change of Joker's fate in his film? Even when in the film he killed Two-Face later the same way?