I actually have an admission to make, I suffered a very traumatic event in my childhood.
I only bought My first pair of lace ups in the middle of fourth grade, and of course I went to school without knowing how to tie a lace. Our teacher then was an older ennglish lady told me a few times to tie my sheolaces, and eventually made me take off my shoes. To add to my trauma, she actaully chose a day on which we had sports/ (which we did in the school lunch room).
Of course i wore my old shoes to school for the next few days, until my mother realised, and then i had to start asking my friends to tie my laces during recess. In all honesty i don’t think it really bothered me that much.
Someone told me in the store recently that their son always removes his shoes in school and the rebbi eventually confiscated them, but I think that it is a bit different if the child takes them off himself.