In reply to ANdrew123:
About 6 years ago following many Achilles problems I did barefoot (without any shoe covering), but I did a lot of walking and progressing to jogging, running. Yes, there is a considerable difference and different stresses on the legs, but it certainly helped me strengthen my ankles etc.
May also depend on your running background, road, trail, fell? Bound to have different strengths and weaknesses in your lower leg.
Eventually I had to give up, running off road on the hills I had no grip barefoot and could barely stand up on wet grass, broken toes would soon follow!