All the players talk about coach Reid and his crazy offense... oh yeah and Eric too... It's usually phrases just like that, if Bieniemy is mentioned at all.
Of course, Reid being the good guy he is will try to give more credit than is due, and he legitimately wants to see EB succeed. But everyone knows it's Andy Reid's offense, the same way it's Belichick's defense.
It's probably best for EB's career advancement to go somewhere else and lead a successful offense with a defensive HC.