Back with more Bridget takes:
Okay, let's say the deniers are right, it's all an activist localization team that should be fired and there's Bad Endings that get overridden by the flawless ending and Bridget is 100% Still A Boy: this turns Bridget's arcade story into one extended "Did you just assume my gender?" joke. Because the assertion is that the Flawless ending says that Bridget is enthusiastically proclaiming "I am a BOY! despite what anybody else thinks!"
But Bridget's parents thinks he's a boy. Bridget's village thinks he's a boy. Bridget's friends think he's a boy. Bridget's acquaintances think he's a boy. Literally the only people who think Bridget's a girl are people who've literally never interacted with Bridget before and see a girl in a skirt. Just a handful of people assuming Bridget's gender like, once before being corrected, including Goldlewis if every other ending is Non-Canon, as he now knows Bridget is a boy who's clothes are a long story.
Kind of a waste of a story mode, yeah? Rise of Skywalker level bad writing.
Take 2: Electric Boogaloo
Okay, so in the west, being a trans person starts of with declaring so and then rounding up healthcare and legal documents. That's how it works, culturally. Heck, most of the time medical intervention is, legally speaking, strictly optional. (Though often medically necessary)
It is largely the opposite in Japan. You have to scare up diagnosis, medical care, and have heavy invasive surgery (including sterilization) before the government allows you to be transgender. Decent chance that any random Japanese femboy is a trans girl who just can't legally say so. (Personal relationships are one thing, government documentation is another).
So if that filters down to government censorship boards and the CERO rating system, then of course Bridget isn't a transgender women. "He's" never so much as looked at HRT, let alone got a hysterectomy. "He's" just announced it, after all. And if that fucks with ratings or risks censorship boards getting involved, it'd make perfect sense for the company to play coy in Japanese while being so overt in other markets. Kinda like how Lily Zombieland is officially listed under her old male name and as a boy in the online biography: an eight year old zombie isn't getting HRT for a wide variety of reasons. (Still no excuse for Erica Catherine being listed in the credits under her deadname. It's a plot point that she's had those surgeries)
That said, Bridget is British and made the declaration that she is a girl in front of the US Secretary of Defense and the Gear King of Europe, so that probably counts.