Really depends on the context, but on a first date you'll be strangers, and paying for her is implicitly turning the interaction into a trade i.e. you have gone out of your way to do something for her, which like it or not places an obligation on her to return the favour. This is why a lot of girls don't like it when you insist on paying. It also reduces their agency by not acknowledging their ability to pay their own way.

Obviously there will be exceptions to this depending on logistics, and I heard the traditional courtship process follows this pattern. There will undoubtedly be girls who respond positively to this treatment, but I would question their values and motivations. It establishes a dynamic of her company being your reward and access to your wealth being her reward. It could just be that I don't have any wealth, but this doesn't seem like an ideal arrangement to me.