Many businesses have their ID badges on the RIGHT side of a shirt or coat because we shake RIGHT hands....and when someone takes your RIGHT hand, their eyes rest on or near your right shoulder.
I fantasize that when we held swords in our right hands, we wanted to inflict the left side of the enemy near the heart and maybe that's where we got the idea of wearing the name/insignia on the left side......but that just MY fantasy, of course.
Jan in VA