Demonstrably false. This narrative is addressed in the movies directly. Not even subtext, just the plot.

Before he even becomes Batman, he does consider killing the guy who murdered his parents. He is beat to it, so he is forced to find another way for “vengeance”. He briefly considers killing Falcone who was rumored to be related to the killer and had the killer killed, and a well known mob boss. Falcone berates him for this, and how Bruce doesn’t actually “have nothing to lose” because he doesn’t understand what led to Falcone running the city or even what desperation is. He’s never had to experience it before. Despite Bruce being the “Prince of Gotham”, Falcone pulled out a gun and could have easily shot him dead in front of a judge and several off duty cops.

From this, Bruce learns that you can’t solve crime by punching gang members, or even the gang boss. He had to learn the socioeconomic factors that led to the type of inequality that led to the type of crime and corruption that Gotham characterizes. He had to give up everything to be able to understand people that come from nothing. He had to starve, steal to survive, be thrown in a third world jail cell a few times. Learn how to fight. Learn how to be a detective. Learn how to see the bigger picture. Learn how to be a symbol instead of it being about his personal hurt feelings and anger. Only when he was done did he return.

And he starts by confronting corruption directly by intimidating a corrupt cop. He HELPS the mentally ill who were being put in cells with violent gang members because Scarecrow was lying about their condition or dosing them with weaponized hallucinogens if that didn’t work.

He spends the rest of the movies fighting off terrorists, most of which are genocidal.

Not a single villain worked for Wayne Industries. I have never even heard of a Batman villain who has that back story, even in the comics. In fact, Icould make you a top 100 best/most popular Batman villains list and none of them have the origin of being personally wronged by Bruce Wayne OR Batman, in any way. He rooted out corruption in the local government, dismantled the mob, and these days fights whatever random terrorist, assassin, or smart guy with a ridiculously circuitous scheme threatens the lives of regular people.

He also dumps millions into charity, and has been known to hire low level gang members that seem alright enough but thought that crime was their only path. And they have great benefits and working conditions. One time a guy robbed Bruce Wayne of a very sentimental heirloom, and when he found out it was to sell to be able to feed his kid, Batman just took it back with no violence, no call to the cops and left a few thousand dollars on the table.

Batman isnt perfect as a person or concept, but he takes care of people. To claim otherwise is absurd.