@Edent I think it's valid to "wear the colours" of those you are allied with. I wear a trans flag badge but I'm not trans. I think I'll copy your idea of using Mx, for the same reason I tell people my pronouns - to make telling people your pronouns normal.
On a related note, I'm vegan, my wife is not, almost every time the waiter will offer the vegan meal to her first. General based assumptions are weird.