Okay, so this is a quick note for those folks who aren’t completely turned off by pedantry and appreciate thinking more deeply about gender. If you ain’t both, this probably isn’t for you.
When “gender neutral” was first used in the context of trans* advocacy, access to bathrooms was probably a driving motivator of the language. In this sense, “gender neutral” is reasonable: the bathrooms themselves might easily have little to nothing to do with gender, including (importantly) things that humans tend to project gender on to even when they are not in any way associated with any particular human. So “Gender neutral” began largely communicating the idea of having no gendered connotations whatsoever – the sense we’ll use for the rest of this brief note. Bathrooms in the home are generally gender neutral in this sense, though we could certainly make a bathroom communicate femininity or masculinity by decorating it in particular ways. Still, when one tenant moved out, presumably those gender signifiers would also go: so, at least intellectually, we can separate the gender neutral bathroom from the gendered decor.