For many reason's yes.
First I'll start with contractural reasons. One we don't have the money to fire him in the middle of his contract. Two we can't go around firing one coach who two years before won 10 games but performed dismally the next two years, bring in another who takes us to 6-6 after two dismal years and takes us back to 10 wins the next, then fire him after one bad year.
U do that and being a small academic university with academic requirements that are much more severe than most universities, you start to get the rep of being a whiny, ivory tower, over expecting, academic elitist G5 that nobody wants to coach at because of the possibility that they might get canned after a bad year. Then we get a coach who is inferior to Montgomery.
Now I'll mention the coaching reasons. Ego needs to be put in check. He needs to strongly consider bringing somebody in and being Co-OC. If he doesn't make some of these & other coaching changes(that should be outlined to him after the season) then he must realize if he fails it may be his last year. If he succeeds then more power to him. If he does make these changes and is even minimally more successful like 5-7, 6-6 then he probably gets another year.
He's young, inexperienced, and has a huge ego. He needs a chance to subjugate all of those aspects a bit in the next year or two. His resume says he deserves that chance and we should give it to him. If he goes somewhere else and succeeds, which is very possible, then our rep takes a real hit.
You just looked at that humorous but true video and called yourself on being too quick on the draw. But after the game you are right back where you were before you admitted being too quick. Pull back and analyze for a millesecond before you get off on somebody/some part of the team.
My apologies if this rambles on grammatically, but I don't feel like going back and editing. Hopefully my points will for the most part be interpretable the way I intended it to be, despite the ramble...