Actually in football only a handful of schools "play for something" at the end of the season. If one is talking about a national title. We all can name those 10-15 schools every year. Rutgers, Indiana, Duke, Vandy, Syracuse, Boston College, Kansas, Kansas State, Purdue, Mississippi St and a host of others are not included in that group.
All of these schools you list have at least seen the light, been close enough touch it, and as Sense of Shame pointed out at least have a shot at winning it. Hell, Kansas went 12-1 in 2007 and was a bad quarter of football from it. KANSAS.
The G5 can see the light but it's dim and fading fast. They'll never get close in this current system unless there is a season where all hell breaks loose.