I don't bet regardless, but you are probably right about the risk/reward part. The Tigers are not uniquely vulnerable though. All of their opponents are just as vulnerable to injuries and slumps. We are more in tune with the Tigers warts because we watch them every day.
As an aside, No team is ever one star player getting injured of a 5-6 game losing streak. A star player is typically worth 5-6 wins over an entire season, not one week.