Thanks!
And you are correct in my erroneous identification of the DC teams, but I remain in disagreement with your assessment. I put the above lists in a spreadsheet and found, with the exception of 4 of the teams, that the teams in the top 2/3 of sports are also in the top 2/3 of battle.
EDIT: as a further observation I notice that, of the 11 teams appearing in both columns above, it is an even split between those finishing higher in their sports/battle placement as compared to the battle/sports placement (if that makes sense). There is a difference of one (as there is an odd number (15), but CHOP! is in virtually the same place on both lists and is essentially a wash.
I contend this is further evidence that your assessment and assumption is incorrect. At least in this case.