One has nothing to do with the other, other than Butch's inability has led to the fan base turning cannibal.
Sometimes it's not a matter of everything being one's fault, there are other circumstances and situations which compound the faults and ultimately highlight the one with most fault.
Butch is the man in charge, and with that comes the ultimate responsibility right, wrong, or indifferent. He has made the bed, and regardless of what other circumstances or situations or people, it is ultimately his bed and he is responsible for it.
Case in point, I would think that after the press conference Saturday and explaining how that was the worst offensive performance he had ever seen or been a part of, and knowing that he is treading water, and having seen the first few weeks of lack luster offense he does nothing to change it, he doesn't take the lead and put his career on his back, he just says the bed is unmade and he will do more to make sure it is made, rather than just making the bed himself. He should have fired the OC, period, especially after his statement and if he is that unaware of the very thin ice he was/is skating on then again no one to blame but himself.