The Nolan take is more realistic, which is why Joker doesn't look like a clown. That being said...I agree with TVC. That character is based on his appearance, and even his darkest moments in the comics feature him with the white/green look.
It's not going to distract me I guess, but overall I would have liked something different. They could have at least made him look sick, not just some dude with bad face paint.