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That's actually a very important observation. I thought, intuitively, that most relievers would have a similar pattern of being better with a day or two off than with no rest...I went and checked Danny Farquhar. Aaaaand...NOPE. Farquhar with no days of rest: .588 OPS, 1 day off: .608 OPS, 2 days off: .653, more than 2 days off: .686 OPS.
So...there may be some guys who work better when very fresh and other guys who work better when broken in and loose.
Hmm.