Well, the sequence of the order never changes, obviously. But statistically speaking, I can't answer it.
I know that Kimmi has read all the research on lineups, and the big takeaway is that aside from having your best hitters in the top part of the lineup, the most important thing is having guys in the spots they're comfortable in. Psychological stuff, I guess.
I remember one year when Ellsbury was struggling, Tito tried Pedroia and Drew at leadoff. They both stunk and both said they hated it. It was a little weird, but that's the way it was.