Yea they did focus the movie around that ideal of Batman in Begins but I don't think it as effectively explores this idea of masculine purpose being false but rather reinforces it. Nolan's movies are all about the purpose of Batman being a lone fighter for some grand ambition, the essence of hollywood heroism. I don't recall at any point Batman really interacts with people, like the citizens? He saves Joffrey, he gives a kid a tool, uhhh...I think that's it lol. He is completely isolated, his goal is to die for the city in dramatic fashion to create a legend, and yet you don't really get a sense he is really a part of the city like in The Batman. Nolan is much more focused on heroic ideals, a broader scope which is why his villains get a lot of screen time to help explore Batman and the ideals that drive him.
What The Batman does is juxtapose his reputation with the citizenry in a way to show that this grand ambition cannot be reached without being an active part of the community he serves and we see that in a few ways whether he is Bruce or Batman. I think more to the videos point, you can't just beat up on bad guys toward a goal like removing all crime and spout a line of philosophy to define your purpose. The heroic masculine purpose should be to become a readily available resource, accountable to all, and where every service no matter how small is treated as virtuous, rather it is in fact in those small acts that show your virtue. And we get that arc from him being an isolated beacon of terror to all, to him choosing to be accountable and in service to all (as Bruce and Batman). He (presumably) chooses to be the Prince of Gotham to be of service where before he was negligent and favoured his grander and selfish purpose (of using his mask to hide his pain, hello watchmen). And this villain is directly related to Batman's relationship with the citizens whereas Nolan used his villains as a relation to Batman's ideals. You can see how the framing is much different in The Batman.
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