Wilson Betemit may have disappointed in the playoffs (often missing pitches by what looked like three full feet), but the Tigers have to offer him arbitration.
Betemit would almost certainly decline, as he only made one million dollars last year and would likely be in line for a bigger contract if he went out on the open market. If he does decline, the Tigers get a supplemental first round pick (likely somewhere between 40 and 60 overall).
If, for some reason, Betemit accepted arbitration, the Tigers would only owe him between 1.5 and 2 million, a very reasonable amount for his skill-set. Betemit would then be used as a platoon third baseman (to limit Inge’s playing time) and second baseman.
So, there would be no downside, regardless what Betemit decided to do.