1) If you would be happy with your gender if you just magically someday got to try out a different one, while that doesn't necessarily 100% mean binary trans, it does mean that you probably fall under the trans umbrella.
2) there's no "debate" around Bridget's gender. She's textually trans, it's not people's "interpretation" any more than saying that she has a yoyo is an "interpretation". The creators of Guilty Gear have stated this multiple times, and any choice to claim otherwise is just that, a choice - to be purposefully obtuse for the sake of erasing textually trans characters.
3) the idea that genderbending, as in a trope in which a character's gender is changed, is entirely separate from stories of trans people is completely lacking in nuance or an understanding of what being trans is. Of course trans people find these stories interesting, they're wish fulfillment - in the same way that pushy lesbians are wish fulfillment for a lot of girls - because it's a way to get what you want without having to necessarily admit you want it. This is a sort of soft forced feminization narrative, as most genederbender stuff is, where someone is made to be a woman, but they don't really mind it, actually it's kinda cool, and they adapt and they're fine with it. But they didn't choose it, so the media allows us to ignore that one big elephant in the room, of "did this boy want to be a girl". And that's the appeal, even to trans people - it's a way to interact on a surface level with themes we like while usually avoiding the tense subjects of it.
4) exactly as Omega Deuse said, this story is not focused on the "genderbend" itself, but rather the experience of learning womanhood - it's a pretty similar experience to anyone who's transitioned, the fear that someone you loved won't love you anymore now, the experience of seeing other people perceive you as a woman, this is a pretty trans narrative, imo. Whether or not it was intentional.