Tom, there have been studies that show the same trends in guys who aren't on Tour.
Crenshaw is actually a great example of how wrong the idea that "short game and putting is everything" really is. So is Brad Faxon, for that matter. Those guys are two of the greatest putters ever. If putting was really everything, they'd be the guys racking up 18, 14, 9, and 7, and 6 majors. Instead, they were very successful but never dominant players, while the guys with the aforementioned totals of majors were all among the best ballstrikers ever. And again, they were two of the absolute best ever at what guys like Mike believe is the single most important aspect of the game.
Doing anything at an elite level is obviously an asset. But facts just repeatedly bear out that you gain more by being great at hitting it than you do chipping it and putting it.