I agree. There are two words to judge a program in year 4 by: "Trending Up?"
And the answer here is not just "no", it's "trending down, actually". Which presumably means things have peaked.
The question about whether Butch will make it here from now on is this:
"Is he capable of, or likely to, honestly evaluate the entire program from top to bottom and make all necessary changes to trend it back up?"
His stubbornness, tone deafness, and demeanor so far have the fan base rightfully saying NO. He could change that, but ONLY he can change it. And so far he's shown no inclination to do it.
He's stubborn about his offense, his personnel decisions, game management, so on - everywhere he needs to be flexible his stubbornness makes him overly rigid. Rigidity leads to tension which leads to breaks.
He could turn perception around with one single, brief, honest, candid press conference addressing the issues and affirming his commitment to turning over every rock in search of championships.