The difference is illustrated here by Pete Rose:
"Reds manager Dusty Baker loves Pete Rose and remembers when Rose once came up to him and asked, "How many hits you gonna get today, kid?"
Said Baker, "Two-for-four," and Rose said, "What? You're going to waste two at-bats?"
Baker laughed at the memory and said, "I guess that's why Pete has twice as many hits as me.""
There is a vast difference between a solid approach to the game and a solid analysis of its results. I think somewhere in here lies the difference between the stats guys and the empirical guys.