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Yes relief pitchers do just come out of the woodwork some years... looking at where Beimel, Lowe and Zych and several others came from.
On top of that, the Mac & Jack draft team really seems to try to fill out drafts by taking guys with one plus pitch and some quirks - and these guys have panned out over the past few years. Unfortunately, when you trade away Smith, Wilhelmsen, Farquhar, Medina, Cochran-Gill, Leone, Maurer, Capps, Pryor, Rasmussen, Ramirez, Olson, Olmos, Huijer, and etc...., in just 18 months, you actually might run out at some point. More young pitchers are on their way through the farm system, but they obviously are not here now.