Okay, you're willfully ignoring my actual point -- which is that it's specious and mean-spiritedly deconstructive to argue that Batman is insane because he behaves the same way as countless other heroic fictional characters -- in order to substitute a completely unrelated straw man you can easily knock down. So I won't even respond to that nonsense.
There's a huge, huge difference in intent between saying that a character has a traumatic past and saying that they're mentally ill. It's not only a misunderstanding of fictional character motivations, but it's ignorant and ableist, lumping all different forms of psychological issues into a single stigmatizing category.
What I hate about the "Batman is insane" notion is the willful refusal to recognize that a person can endure trauma and turn it into something positive, something that helps others. Batman is a constructive coping mechanism for Bruce. He's turned his own pain into a motivation to save other people from enduring the same pain. To look at something that noble and see only sickness is incredibly cynical and heartless. Some people just have a twisted need to tear down anything positive. They think it makes them clever to say that heroic characters are actually evil or insane, that the Federation is actually a dictatorship, that Palpatine was right, whatever. But they're not seeing some great insight others have missed, they just get off on tearing down what other people enjoy.
I can see that this bothers you greatly, so how about I just apologise for impugning the sanity of a fictional billionaire and let's just call it quits.