I've shot lots of sports on sunny days and I can't ever remember going to such shutter speeds, but then I've usually been shooting at either f2.8 or f4 with the 90-250mm and/or EC-14. I actually prefer to stop down slightly anyway, as in fast moving sport, you need that DoF to ensure the subjects are in focus. You could never submit OOF shots.
On another note, I guess I'm one who avoids shooting as much as I can in the middle of the day in blazing sunlight. It usually doesn't provide the best lighting. And if I were to photograph people in such situations, it'd be more for happy snaps and I'd usually stop down, otherwise I'd use ND filters, some form of light filtering or the like, that's why they make them.