I'm not sure Miss. State wins a conference game next year. Or Vandy.
It's rare when two teams lay an egg in conference play. In a cursory look at the last forty years, it looks like 2013, 2012, 2002 and 1983 were the only years when it happened. Before that, many teams played just six conference games, so it was easier for bad teams to dodge each other, and it happened more often. Also, ties were prevalent in that era.
In 1963, three teams went winless in the league (Vandy, Kentucky, and Tulane).
*EDIT - the three winless teams also happened in '37 and '34, both times including Sewanee.
RTR,
Tim