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Next time you head to the park, go stand in the slot and have someone hold a ball in the middle of the zone and focus on it. While focusing on it, see how far your peripheral vision goes before it becomes fuzzy. 45 degrees (which is where a batter's foot would be) is VERY fuzzy - most people's quality peripheral vision is about 25-30 degrees.
Now add to this that the pitch is moving - and it greatly subtracts from your ability to TRULY see a foot not just out of the box but also contacting the ground at the same instant as he's hitting the pitch.
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"Many baseball fans look upon an umpire as a sort of necessary evil to the luxury of baseball, like the odor that follows an automobile." - Hall of Fame Pitcher Christy Mathewson
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