You know what else is great about that scene. It's not just a bad ash intro for Batman into the movie, it also immediately addresses how Batman is affecting Gotham with the copycats. In fact the whole intro post Joker's bank robbery is a fantastic montage of different little scenes that flow together of showing Batman's effect on Gotham. We see the batsignal light in the sky;
- You see some Cops looking at it admiringly
- We see some crooks too scared to get up to any crime when they see it "Nah man, I don't want to tonight"
- We see the News telecast with the Mayor, where Mike Engle says Batman is doing some good and the criminals are running scared, and the Mayor is giving the official line about the Major crimes units are hunting Batman
- We then see in Major crimes itself where they have a little billboard of Batman suspects ranging from Big Foot to Elvis lol. Showing the Cops are not really hunting him, they're turning a blind eye because he is doing good.
- Then of course we see Gordon lighting the batsignal, because even if Batman doesn't respond, he likes to light to remind everyone that he's out there.
That to me is proper Batman material. That's what I think of when I think of Batman, Gotham, the general attitude of the Cops, the Mayor, and Gordon when it comes to him. Officially they don't sanction him, but everyone knows the Cops turn a blind eye. They're happy with that. Dent even says later in the movie that the citizens were happy to have him clean up their streets. It's only when his presence starts to impact negatively (Joker) that they start screaming for him to be taken in.