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It is almnost like you need two ratings for each fighter and a random way to determine which fighter shows up on a given night.
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What about using the "Conditioning" category to give you the randomness you are seeing. I don't think they were meant to be used for this kind of problem but maybe they do reflect what you are seeing. #4 is Weight problems-maybe they have trouble getting down to weight and suffer. Or maybe just #9....."head case"

There are a number you could use....
Just a thought off the top of my head as I have not tried to rate straws myself. Thanks for all your hard work.