We'll actually that's incorrect. This version of Joker was actually the most removed from the comic book Joker out of all other versions. Multiple origins was only mentioned in one comic book out of 7 decades as oppose to the Kane origins which were restated multiple times and were the official origins for all this time. As for not wanting to kill Batman, thats also something from relatively very few stories if we look at his entire history, and TDK Joker really isn't laughing all the time and its one of the few criticism I hear about this version is that hes not laughing enough. The original Joker and the silver age Joker was a crook with big ego who wanted to be the world's greatest crook and was extremely flamboyant. The 70's rebooted O'Neil version was the one that didnt care about money. The most accurate Joker is from The Animated Series, that is of course if we're talking about the 70s Joker. Nolan said himself that he wanted to go his own way with Joker, thats why hes so different. And again as I always say, different or faithfull to the comic does not mean great or bad and has nothing to do with the quality of the performance. TDK's Joker is a phenomenal and mesmerizing villain either way. Anyway, to save myself some repetitive and long writing I put it all in the blog, the
complete Joker history -
http://gothamalleys.blogspot.com/2010/09/complete-history-of-joker.html
As a major Joker fan since mid 80s I must really disagree and defend the character. I thought it was great origins and explained Joker's perma white face and green hair perfectly. In Kane's origins he was never said to be a good guy, just the opposite. He was already a masked villain and theres no telling how nuts he already was before the accident. I thought the idea that the trauma of the accident and that the shock of the disfigurement multiplying the insanity was very convincing. Burton's origins pretty much followed the same path but actually showed that the guy was already and unstable murdering mobster even before the fall.
Anyway, to answer the thread's question - The TDK Joker actually did have an appearance in Brave and the Bold #31 comic where his origins were explained as someone being a psycho since he was a kid, and as others mentioned, the comic book Joker was a bit adjusted to fit in more with the TDK one, thats why they did the whole accident thing with Joker to have him mentally reborn and visually more like the TDK version. Would I want to see TDK Joker in some one off stories? Of course! But would I want him to replace the iconic Joker? Not a chance. As I said, I'm a major Joker fan since the mid 80's and it would make no sense to me if I would want to see him being replaced
Here's one
http://1.bp.blogspot.com/_JrMAg7gZ5FQ/TKaBGjKYFXI/AAAAAAAAAP8/GmX_FfK6AdA/s1600/jokerglag.jpg