I wasn't talking about the villains, but about the hero. I was responding to the sentence, "You'd have a guy in a bat suit doing the respectable cops jobs for them, which would eventually be boring." I was pointing out that from about the mid-40s to the mid-70s at least, Batman was portrayed as a respectable authority figure working in close partnership with the police, and even being duly deputized as police, without the stories being boring.
Your points about whether it's a comedy approach or a dramatic approach are beside the point; I'm simply saying that a respectable Batman in partnership with the police isn't automatically a recipe for boredom, because there are ways to tell that story entertainingly. And a comedy approach may not be the only way to do it. Heck, the late-'40s comics weren't nearly as goofy as the '60s comics or the TV show, and they featured some classic, fairly "dark" (for the time) stories like the ones about Batman tracking down Joe Chill and Lew Moxon and uncovering the secrets behind the Wayne murders; but they still showed Batman as a respectable part of the law-enforcement establishment.