As one of the "old school," so-to-speak, I am no believer in mollycoddling,but I would stop short at PE in bare feet. It's dangerous! I once broke a little toe on the leg of a chair while just walking about barefoot in my own living room!
dont do it any more at school but it used to depend on what we was doing, if it was something like basketball or badmington then it would be trainers, but for things like trampolining it was no shoes but did wear socks
Life's not short....its the longest thing you will ever have