firstly, mr. bentorah: i dont know for sure any other pshat in the medrash but it is clear that the mesorah was only some slight differences or just not adopting anything pritzusdik or related to avodah zara.
secondly, to the prof: all the other uniforms you mention were decided upon by the governing body of that organization or group. How does something decided on by a bunch of kids take on true torah value? bishlama if it was the roshei yeshiva , it would have significance. (but we still dont have the explanation) but if it was “a consensus of yeshiva bochrim” then that has no basis in daas torah.