Its one of the reasons why I think they selection criteria should be changed to require a playoff team to have been the conference champion. The key requirement for the NY6 bowl bid to the G5 is that they have to be a conference champion. The P5s should have the same requirement.
It's certainly fair that the P5 and G5 teams should be held to the same standard. But I go the other way....winning a conference championship often comes down to how a team plays in just one game, rather than over the course of a full season. Maybe they can come up with something like college basketball where you have a regular season champ and a tournament champ that are both recognized and eligible (though the tournament champ is the "official" one that gets the automatic invite to the NCAA's).
In the instance we're talking about in the SEC, if LSU goes unbeaten during the season, but loses to 1-loss Georgia in the CCG, both would at least be eligible for the Playoff. Still leaves Alabama out, but all I really want to see is the 4 best teams competing, wherever they may come from.