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Assuming that, under certain conditions, a cleanup hitter can help a ballclub hit contagiously, it wouldn't eliminate the fact that other baseball factors come into play also.
The idea of "legitimizing" a lineup --- > presumes that there's a lineup to legitimize. :- ) Albert Pujols couldn't legitimize the Everett AquaSox playing in the AL West, because the AquaSox AREN'T legitimate.