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Tony LaRussa used to do things like that to make his hitters better .... bat a questionable Dave Henderson #2 behind Rickey because Dave was a fastball hitter; bat McGwire #6 because he liked the idea of "two cleanup hitters," etc...
Not sure I'd bat Olivo #4 in this lineup :- ) .... but if we honestly believe that order doesn't matter much (and I do) ... it's interesting to ask, "Is there any way in which the hitters can make one another better?"