Unfortunately this committee seems to be one of those appointed until you're out of a job (or choose to resign in disgust like Holmgren did while still in Seattle) deals. Hence Atlanta allowing McKay to maintain an office on their property even after hiring our boy wonder Pioli understudy to run their franchise. Lewis got a seat for turning the Bungles around...for one season. Lots of Dungy/Polian tree connected bodies on that committee... Polian landed his seat for creating the Panthers...an expansion team that won early (then someone else got to clean up the mess).
They'd never let Bill have a seat since 2007, and he wouldn't want to play political grab ass with those clowns anyway. They don't care about the game, they care about marketing the product.