A reason that some European countries use in recent laws that ban women from wearing full-face burkas/niqabs, is it stops the wearers interacting/communicating with others. The same logic implies we should ban public wear of headphones. https://en.wikipedia.org/wiki/French_ban_on_face_covering "The key argument supporting this proposal is that face-coverings ... [are] a social hindrance within a society which relies…
Also, you omitted the primary reason:
"face-coverings prevent the clear identification of a person"