Well, we are talking about fiction and romanticizing. The meaning 'hero' has no value outside of that context, especially not when talking about Batman, a fictional character and a representant fo the superhero genre.
And yet Batman never attempted to stop Dick from being a cop. And if you're part of the Batclan, then yes, you're probably going to be expected to go with the principles of the guy who created the Bat in the first place. It's not like there aren't other cities where someone intent on heroing and thinking being able to use a gun is more important than protecting Gotham specifically could go.