Those in charge, I've never heard of a fan being the reason that a coach/gm got hired. Have you?
The board members of a corporation may guide the business and make hiring decisions, but only for as long as they have the support of the shareholders. The NFL is no different.
NFL owners do not operate in a vacuum. Any of them worth their salt certainly take public opinion into consideration when they make decisions about the future of the franchise. To think otherwise is just flat naive.
And obviously, even the JR of a few years ago thought the same, as he would go out of his way to answer letters, complaints, etc of PSL owners personally. I can't see that same guy now saying, "screw the opinions of our customers, I'm going to do what I damn well please." If he does that, then in a few years it's "welcome to LA".