Wow, that's a heckuva provocative title considering that there's absolutely nothing in your actual post to indicate that B: TAS is being, has ever been, or will ever be censored.
But anyway, I think the idea behind Batman is that he's become a bit of an urban legend, and you know how those sorts of things tend to grow in the telling. In the same way that your brother's boss's girlfriend's cousin saw an alligator in the New York sewers, probably after the first couple times Batman roughed some 'hoods up just a little bit in pure self defense, the story got exaggerated more and more each time it was told until it was like, "Yeah, I heard about Batman from my old cellmate in the slammer. He said the Bats thrashed an old partner of his within an inch of his life, broke his leg and three ribs-- yeah, it's amazing the guy can still walk-- and then bit the head off a bat Ozzy-style and spit it out onto the poor guy's broken body. True story. Yeah, the Bats is a loose cannon, total psycho."
Criminals do, after all, tend to be a "superstitious cowardly lot." (-:
Note to impressionable children reading this post: Don't worry, there aren't really any alligators in the New York sewers. It's a well-known fact that New York is croc country. Have a nice day. (-: