No, it's highly revisionist. Keaton's Bruce is the only one who's incapable of putting on the act, the public persona of the debonair billionaire playboy that's just as important and useful a disguise as the Bat-cowl is.
That's a trite, hackneyed argument, and an invalid one, because it's applying real-world logic to a fantasy universe. Bruce Wayne lives in a world where dressing up in a themed costume to fight crime is as normal as wearing a tall white hat to be a chef, or wearing a bright jersey with numbers on it to play sports. For that matter, there's real-life precedent in other cultures for wearing animal masks for symbolic or ritual purposes. Japanese samurai often wore frightening animal- or demon-themed masks on the front of their helmets. So to say "It's insane to wear animal-themed armor" is grossly ethnocentric.
Besides, one thing the Nolan films did very well was explaining that the bat costume is not reflective of Bruce's psychology, but that of his targets. It's a calculated choice to use a symbol to strike fear in the superstitious, cowardly lot he battles, and to use the pageantry of the Batman to distract observers from seeing the man underneath.
I also loathe the cynicism of the idea that only a mentally ill person would fight crime. Bruce Wayne has selflessly dedicated his life and resources to the exclusive task of serving other people. That's basically the same thing people do when they give up worldly goods to become priests or nuns or monks. I hate it when people look at such a profound gesture of compassion and self-abnegation and see it only as something unhealthy and deranged, something to mock and discredit. It's a rejection of the very thing that makes superhero stories meaningful.
And that's part of why Burton's Batman never worked for me -- because he's the director who most fully embraced the idea that Batman was a symptom of Bruce's dysfunction, rather than a calculated tool of a hyperfunctional genius. Also because he was the first filmmaker to portray Batman that way, and it's had too much of an influence on the public's perception of the character since then.
Wayne--as covered in his very first published appearance--used the image of a bat for its effect on criminals, not as a reflection or projection of his own personality. If Keaton's Wayne/Batman appeared to have a few screws loose, it is due to Tim Burton using that same type of character template in too many of his films. He did not understand a single thing about what motivates Wayne to fight crime; he was too busy turning a psychologically and physically strong man into a "technogeek" (Burton's words from a 1989 NBC interview), and not a "Square-jawed hero" (again, Burton's words from the same NBC interview). Burton's own hang-ups and insecurities had no place in a Batman film, but he was allowed to mold the character to fit his issues, hence casting a short, balding, nonathletic comedic actor as one of the most imposing of all comic book superheroes.
Well that's me told

Seriously you can dress it up any way you want but Bruce's response to his parents' deaths is not remotely normal or healthy. He could react in any number of ways, he could become a cop, become a DA like Harvey, he could invest his billions in social programs, instead he dresses up at night and goes out to punch criminals. And yeah it's fantasy I get that (though worth noting that in the films outside of the Snyder films in each case Bats has been the first masked hero and his very appearance has encouraged the masked lunatics.)
Frankly "hyperfunctional genius" sounds suspiciously like the kind of nonsense some people say about Musk but hey, this is an MCU thread and it isn't like I hate Bats, quite the reverse he's probably my favourite superhero, I just obviously like a different take on the character to you, but the good thing is that Batman is like Dr Who or James Bond, if you don't like one incarnation chances are sooner or later one will come along you do like.