It's ALL in service of Bruce Wayne's arc.
The road from "I'm vengeance" to *symbol of hope* is paved with empathy.
- From the Riddler's story, Bruce comes to understand that even though he was orphaned, at least he wasn't a poor, abandoned orphan. He has Alfred. He has money. In other words, there are those who are far worse off than him, who took a much darker path (see: the Riddler).
- From Catwoman's story, Bruce learns that his money has allowed him to remove himself from society, his rage blinding him as to what is truly causing the crime he fights night after night - corruption.
Catwoman's "white privileged assh*les" comment isn't meant to be some racist, political, sjw bullsh*t against the right or whites or whatever. Again, not only does the line fit her character, it's a line ultimately meant to help snap Bruce, and Bruce alone, from his old, reclusive/ignorant/vengeful ways.
The Batman is about Bruce gaining PERSPECTIVE and EMPATHY, two key ingredients that allow his angry, vengeful self to ultimately become a symbol of hope; his vengeance "cured," so to speak, by the realization that others have it much worse than he does, and that his plight as Batman can be far more effective as a means to give *others* hope, as opposed to fruitlessly and corrosively trying to give *himself* closure via vengeance.
And just to be clear, it's not "Quit feeling sorry for yourself, you rich white assh*le. It's my plight and my feelings that matter, not yours." Rather, the movie's critique of Bruce is that he's feeling sorry himself in the *wrong* way. He's trying to cure himself through vengeance, when he could be curing himself AND others as a symbol of hope.
Either way, if you think any of that's "political" or "white guilt" nonsense, I don't know what to tell you.