Yes, it does. Jerry has also dispelled the idea that you can not spin the tire in the opposite direction so that means you can literally put it right back on the hub you took it off of. I'd always thought that was a no no so I put the left rear on the right rear and vise versa (to keep the tires spinning the same direction).
I thought you were still supposed to keep the tires going in the same direction which is why you also switch sides after flipping the tires?