I think a sufficient point can be reached between the hints Nolan makes and spoon feeding the audience.
To be honest, if I hadn't watched Gotham Knight, I wouldn't have even thought anything of him breaking the gun. Nolan hints at Bruce knowing more than we may think, but what Nolan makes more obvious is that Bruce is resourceful and turns to Fox for a lot of things. I think the type of Batman people are looking for, for example, is one who not only would have matched the type of bullet removed from the appartment to get a fingerprint, but would have come up with the fingerprint completely on his own without Fox doing it for him.