Unfortunate. Ill-fated. Ill-starred. Luckless. Unlucky.
All the above are synonyms for the word Hapless. The Chiefs are a hapless team. No matter how you slice it, no matter what excuse you choose to use (and OH, the excuse machines are running overtime today!!), and no matter what perspective you wish to observe from, this is a Hapless team.
In fact, you could even say that Joe Montana was unable to overcome this haplessness. He got injured on what would have been his final Super Bowl run while wearing a Chiefs jersey. For Joe, that was a bit out of the ordinary. Just another nail in the hapless coffin that surrounds the Kansas City Chiefs.