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But it's open to question, how much Branyan's dropoff was due to his BABIP (which fell off to a mere .226). Adjust his BABIP to his normal .300 and he's not killing the team.
Also wonder to what extent it was a simple batting slump, since his EYE fell off from 0.50 to 0.25 in the second half. Admittedly, this could be due to the pain, but it's hard to tell.
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Your overall point is a great one: if he's playing in pain, will he be hurting the club? Good question.