It's interesting, isn't it? When I was a left winger in my youth — a crap one, I hasten to add, I didn't have any change of pace whatsoever — it just sort of went without saying that you were left-footed if you played on the left, and right-footed if you played on the right. Don't know when the thinking on that changed.
I still continue to believe that if you can get past your man on the outside, and cross the ball back and away from the keeper and his defence with your stronger foot, you're likely to create more chaos. It's a nightmare for centre-halves.