Interesting mirror. Is it me or is the girl's hat on backwards? It looks like the pinch is in the back.
I think you are right. I just explained to my daughter that the bow is on the opposite side for women (it is one of my wife's hats). She was modelling on my hats I guess. Interesting she noticed that.
It may also be that she has her (quite lovely) hair in a ponytail and the hat is pulled down over it in back, thus deforming the crown a little.