Your conclusion is probably correct, but I don't think your proof works. I'm going to play devil's advocate now: The thing to consider here is that these women were not just raised as boys, they were also born as boys. They may be on HRT now, but what if there are differences between how the male and female brains work that come from the Y chromosome? Or your hormonal balance in your formative years? I would hope not because that gives sexists way too much ammo, but we do not know for sure.
There's other potential reasons for all the trans women in software engineering too. Children who don't feel comfortable in their own identities are probably way less social - I don't have enough trans friends to confirm this is true, but I feel like it might be. Not being particularly popular in school drives you to gaming as a hobby because you don't need friends for that, and at least in the 90s and 00s that would usually mean tinkering with your PC (because Windows never fucking worked properly, did it now). This would also explain all the furries IMO.
I feel like Nolan's Batman actually has moral dilemmas beyond the no killing rule.
In Batman Begins, you can clearly see he doesn't even like living as Bruce Wayne. When he sees his childhood friend Rachel and says "this is not all that I am. Inside, I am more..." or whatever he said, you could tell he felt embarrassed about flexing his billionaire lifestyle, which he was only doing because Bruce Wayne needed to occasionally be visible in society, otherwise things would get suspicious.
He clearly realized that A) Law Enforcement and the DA's office needed a lot of help in Gotham and B) He needed to help them arrest and prosecute people legally, rather than having himself, one rich dude, be judge, jury and executioner. This is why he cooperated with Jim Gordon
In cases of particularly dangerous people like Ra's Al Ghul, he committed manslaughter, potentially murder, because he knew they'd endanger more people otherwise. At the same time, I think he realized Ra's Al Ghul had a bit of a point, that the rich and powerful had fucked Gotham up so bad it would almost be best to destroy it altogether. Still, he can't agree with it because even letting it happen would mean the blood of millions of people on his hands.
While he's doing a lot as Batman, the Wayne foundation is trying to actually improve society - and while this is feeding into the old libertarian narrative that individuals doing charity is better than government spending to improve society, it becomes clear to him at some point that this is not really working either.