Batman still always seemed to be the most normal and sane in the face of all that.

This is what I mean by divergent canon. I don't think it works the reality laid out in the comics, or they'd be a dime a dozen. He's a damaged man. I thought that was canon too. Damaged and exceptional, but definitely damaged.

There's no direct evidence, but it's pretty heavily implied in the last-reboot-before-Graduation-Day version of Titans that Kory was Dick's first. (He has a memory of the two of them as kids, in which she's more or less jumped him in the control room... ah, good times.)

Damaged, but using that as a source of strength and focus. And yes, exceptional, which is the key. I don't think there are many other people in the DC 'verse who could have accomplished what he did on his own.

Damaged, but using that as a source of strength and focus.

How does that rule out psychosis? Just like blasts of radiation might make you or I dead, I think trauma-induced psychosis is perfectly reasonable a fuel for heroism in his universe.

I think we can all agree on "damaged," ita, but "psychotic" seems a bridge too far.

YPMV.

The Batman I see operates in a very different reality from those around him. That's pretty much all I need for a definition.

You are more stringent, perhaps, or see him as more commonly grounded.

I think we can all agree on "damaged," ita, but "psychotic" seems a bridge too far.

"Psychotic" has very specific diagnostic meaning. It's for people who hear voices that tell them to do things and other gross misapprehensions of the consensus reality. Batman deviates from the social norm considerably, but he can readily put on Bruce Wayne's tuxedo and mingle and socialize as much as he wants without worrying about the bugs under his skin or whether the CIA is controlling his thoughts.

Do you disagree with the Britannica definition, or am I interpreting it too loosely?

Not being a doctor, I don't know what the dif is regarding psycosis and psychotic, if there is one. You make a lot of points of which I kind of agree with you on.

any of several major mental illnesses that can cause delusions, hallucinations,

Batman is very grounded in reality, doesn't even really believe in magic (should read some of his interchanges with WW in JLA).

serious defects in judgment and insight,

Okay, maybe training children to jump off of skyscrapers while doing a handstand then going out with them to do it and get shot at...

defects in the thinking process, and the inability to objectively evaluate reality.

They don't call him the world's greatest detective for nothing.

doesn't even really believe in magic

Dude, there, right there is a red flag in a universe with Zatanna, but I should probably read the exchanges, because I can't believe they'd have him take the stance I'm reading that as.