Turn it around. How can you NOT include a conference champion? That won't fly with anyone even if they have 2 losses. The conference left out will scream bloody murder, and every other conference will say "that might be us next year, HELL NO!". I'd recommend NOT making it automatic, knowing they'd be in, but again the public perception would be the possibility of being left out and "OMG, BLOODY MURDER"
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I do see the real possibility that going to 8 teams will not quiet the moaning of those left at the 9-10-11 spots. There would still be arguments that an undefeated Memphis at 8 is better or worse than a one loss FLA at 9, for example. Wherever the bubble lies, there will be people inside of it and those on the outside. There is no end to the moaning regardless of where you cut it off. However, I still like bumping it to 8 in that it moves more to the spirit of collegiate athletics as exemplified by March Madness. Yes, you get some crap teams in, but EVERY team has a chance. Yes, those crap teams get bounced in the first round, but they got to play. Consensus would be that the Cinderellas won't ever win the whole thing, that you've included enough of the 'top' teams that the true champion will win out. But having those 6-7-8 slots means more people get to the dance. I realize this is a business, and the warm fuzzies for putting a weak team in as a feel good story is nice but not critical to the crowning of a true champion. But tell me you won't get America behind Boise State as they face Oklahoma? You could have strong first round playoffs with 'just' the top 8 teams, or you could have matchups that engage the country in those early rounds.
Again, I prefer the 8 spots. Knowing slots 6-7-8 may be a Memphis, or it may be a one loss SEC team - doesn't matter. Cream will rise, and everyone has a chance.