The Dark Knight elavated Nolan even higher than Batman Begins. He is a golden boy in hollywood at the moment, and they would be crazy to make the third film without him.
It is true Burton was not very faithful to the comics his batman fits his bizarre Burtanverse far better. And Jack Niholson acted like Jack, and some kind of pastiche of the 60's cartoonish Joker.
The first Batman film in 1989 was the only film supervised and given approval by Bob Kane who allowed Burton to make changes in the story. Like the Joker killing batman's parents to give the character a motivation.
Burton had the darker noir ish batman first, but the phychology of the character was that he like a circus freak and so were the villains in those pictures. There was a bit of the surreal in Burtons version. His batman was like the bad james bond films all about the gadgets and not about the character.
Nolans version grounds the series in a heathy dose of reality and for the first time made Batman believable as a living breathing and deeply flawed human character.
Joel Shusuckers version should just be completely forgotten it is so awful.