You require goggles,masks,and gloves whilst dealing with chemicals, you also require masks,gloves, and a coat while operating a surgery in order to avoid getting sick by any diseases or such, another activity that requires safety equipment is constructing, if a brick or something hard were to fall on your head you'd have a helmet to protect you.The fourth activity I could say requires safety equipment is rock climbing it's the same principal as you would not want to injure yourself.
By accepting that they did not "feel themselves get tagged" its better to end the conflict as soon as possible instead of letting it get heated and out of control.