They haven't only been unlucky but they've been pretty damned unlucky.
Look at 2011. You have a 28 year old Mauer, a 30 year old Morneau, a 27 year old Liriano, a 29 year old Baker, a 32 year old Cuddyer, and a 29 year old Kubel who all imploded damned near simultaneously.
That was the core of a 94 win team the previous season.
Were mistakes made? Yes, absolutely... But we're talking about three players with 6+ WAR potential and three more with 3+ WAR potential who all fell flat on their face at virtually the same time.
That's some pretty **** luck right there and the kind of disaster season from which it's hard to recover.
That doesn't excuse later mistakes but there's nothing wrong with acknowledging how sometimes, things just go to hell and it's out of anyone's control.
That applies to every franchise though. Not over a small sample like one season, but over say a decade, the luck is going to even out.
When one team appears to get more or less unlucky over a span of several seasons then it's likely due to skill, not luck.
For example, you could say that the Twins got pretty lucky that ESan and Dozier had great seasons last year. Both are on reasonable to friendly contracts, and it happened right in the middle of a regime changing rebuild. Most teams in a rebuild would love to have cheap, proven tradeable assets like that.
However, we chose to double down and try to get more at the deadline or next offseason.
I guarantee that if they don't work out, there are some here claiming they got unlucky that those 2 assets lost value, even though we pushed our luck by declining to trade them when they were already right around peak value.