I'm sorry, but this just doesn't fly with me. For example, if a team has three guys batting over .330 you might want to bunch them up rather than have them bat 1st, 4th, & 7th with .250 hitters between them. Neither way is going to score a lot of runs but IMO bunching the best hitters will create more runs than spreading them out. That's why we whine and cry about "black holes" in the order.
However, smart managers would never do that, which invalidates the the idea that the lineup makes no difference because the SS of managers doing that would be too small to draw any meaningful conclusions.