He swings the club so fast the natural tendancy is to hit down on the ball, across the body. He controls it well most of the time but to hit an accurate draw with his swing speed would be much, much more difficult.
My swing speed is faster than the average guy and I tend to go after shots from the tee more so than off the fairway. I couldnt hit a controlled draw swinging the club at the same speed I hit a controlled fade / cut and Tiger likes to go after his shots more often than not.
You'd think he could hit a push draw without wailing away. Maybe he needs to check out another guru.