Perhaps. All I know is that it's a reality that professional players have much different relationship than a standard employee under their "boss." For example, Mario Williams has seen 3 regime changes alone since signing in Buffalo. 3 different bosses. He's the one making $100M. Not Gailey, or Marrone or Rex. He's the talent.
It's a reality that in the climate today, coaches are responsible in part for getting their players to buy in. It happens in the NBA to a much higher degree than the NFL, but it's common in the NFL. Ask Philbin. That team sucked on purpose to get him fired, or they didn't care enough to save him. Either way.
It's my opinion that Rex did not put forth enough effort into getting the players to buy in when he started. He was too cocky. I think he underestimated how players would feel and how reticent they would be to change things. One silver lining is that I think he's learned his lesson.