Now, approaching it clinically, is Bruce Wayne psychotic? Absolutely not. He does not hallucinate or suffer from paranoid delusions
Actually in some versions he does - when they did the Bruce Wayne: Murderer storyline, they did a rather odd story in a single issue which isn't even part of the cross-over
which explains why he owns the gun that is used to commit the murder because a giant Batman told him to. So right upto the revamp, the last version of Batman did - on page - suffer from hallucinations.
Moreover, in the most recent version he broke a young girl's noise simply because she was following him around and refused to summon a doctor to help someone who had acid splashed in their face because "it is a family matter" - signs of a dangerously unbalanced individual with warped judgement.