As a nonbinary person, this captures how public bathrooms feel perfectly. I'm afab, but I look pretty androgynous. I always feel like I'm in a place that I'm not supposed to be. I don't associate strongly enough with a male identity to use the other bathroom, though, and most of the time, the women's room is safe enough when you look like me, given that afab people are "allowed" to be masculine. I've only been mistaken for an amab in a bathroom once, and it wasn't anywhere near as jarring as the experience in the full female path.
Keep making games like this.