My favorite batman takes are the Battinson movie and the Telltale Batman series that straight up has Bruce Wayne doing this exact shit, only to show why it wouldn't work.
In Telltale, Batman's parents are revealed to have been a crime family: Thomas Wayne, Carmine Falcone, and Hamilton Hill were all in business together to run Gotham with Thomas using his position as director of Arkham to institutionalize their enemies and steal their property. Bruce knew none of this, and when he discovers it he goes through a massive crisis of conscience because he has been trying to help people, and has been motivated by his memories of his parents as good noble people murdered by criminals, when in reality they were hurting the people of Gotham as much as any other villain in the series, and that all the inherited wealth is is using to try and fix Gotham comes from atrocities that he can never undo or correct. No matter how noble his intentions, his wealth comes from a system of criminal exploitation of the people of Gotham, and while he can (and depending on your choices does) make reparations the people his family has harmed, he can only do so from the position of someone who has directly benefited from that exploitation. Yet Oswald Cobblepot, one of the victims of the Waynes who seeks to take revenge by taking control of Wayne Enterprises, is hardly a heroic figure in this story. All his talk of revolution is just self-serving language to cover his attempts to enrich himself and regain the fortune his family had stolen by Wayne. The problems of society go deeper than the "wrong people" having too much money, the problems are how society is structured to enforce a ruling class made up of those who own capital.
In The Batman (2022), Wayne's parents aren't criminals, but Thomas Wayne sets up the Gotham Renewal Program to try and improve Gotham as a city, to solve the systemic problems in Gotham by direct spending on solutions to those problems. Then he is murdered on Falcone's orders, and the funds fall into the control of Gotham's organized criminal families with the city's blessing. It just becomes another vehicle for the ruling class of Gotham to empower and enrich themselves. The idealism of Thomas Wayne died with him, and like many such "altruistic start-ups," once in the control of people who only had an incentive to make money, the fund quickly lost any potential as a force for social good and just became another slush fund for criminal activity. Bruce sees, directly, what just "giving all his money directly to the people of Gotham" would look like: any program he set up would be defeated by corruption and sabotage. The problems of Gotham go deeper than just him not giving "enough" of his money away, because as long as society is organized in favor of a Capitalist ruling class any money he gives away ends up concentrated in the hands of another billionaire.
In both cases, the problem isn't that giving money to help people is bad, or wrong, or pointless. They're good things that Bruce Wayne needs to do in order to be good, but they're not sufficient, in and of themselves, to actually bring about lasting, permanent, structural, societal change that will fix Gotham.
The problem isn't that Billionaires like Bruce Wayne have been heretofore bad stewards of their money, or uncharitable, or greedy, and that if they were replaced by better people then society would sort itself out. The problem is that no society organized on the accumulation of capital and profit, no society organized around exploitation of others, can ever be anything except what it is: a contest of the cruelest and most selfish people to accumulate capital and power. Bruce Wayne being a generous and compassionate person isn't enough. You have to change society in order to improve it. He still has a duty to use his money to help the people of Gotham, and he does, but that alone can never fix what is broken at the heart of his city, of his society.
This is another long winded rant but superhero stories are about power, namely about what our responsibility is with the power we have. And Batman is the story of someone who has power not because of unique abilities, innate things about himself, but by simple circumstances of his birth and the society he lives in. His power is not something he earned, or even something he stumbled into, and it's not even an innate part of who he is as a person: his wealth makes him powerful, but if anyone else had been born the child of Thomas and Martha Wayne they would have all the same power that he does. So the issue in Batman is: what do you do when you have that kind of power? A power that comes not from yourself, your own character or values, from your own unique abilities or strengths, but just by being a person occupying a social position? A power that comes from privilege? Bruce Wayne has to struggle with that issue, has to balance being the person on both sides of the mask: the person who, by virtue of being a billionaire, has the ability to pull the levers of society and make things happen, and the person who, by virtue of being a vigilante, is deliberately attacking the boundaries of that society.
Obviously, the kind of social change that will fix the problems of Gotham cannot, by definition, come from just one man, but has to come through mass social change. All the best Batman stories make it clear that he is just as much as symbol of hope to the people of Gotham as he is a icon of fear for the criminal underworld. He protects them, but he also embodies the promise that people can fight this system. Just like good Superman stories make people aspire to be better than they are, good Batman stories make people ask "well, what can I do with what I have to fix the problems around me?" It's not about donning a mask and doing good punching to stop criminals, but about being the person who takes everything that they have and uses it for others rather than for themself. It's about being the person who shows up to help people when it's difficult, demeaning, and even a little dangerous, because it's only people who are willing to do that that are going to change the world.