They can't force you to run IN BOOTS. H&S thing - you wear trainers to run, and boots are going to damage you.
As I said earlier, all the exercises you do wearing combats were designed and could be completed at walking pace. If the cadet wished to run, then that is their decision.
With CIB (Cadet Induced Bull***t), f@nnying about & generally not having your poo in one place, you need to run, or not finish the exercise. Your call.