There is no true answer to the original question. Not enough so called "proven coaches" out there to satisfy the so-called "quick fix" scenario that seems to be what many want.
Sometimes, the people that do the hiring in the College Football landscape need to zero in on a few coaches, head or assistant and ask the right questions and not take BS answers or "coach speak" for the truth.
Either it is a lack of coaching ability, laziness or just not really knowing what it takes to get a top D-1 program like TN back on track that is keeping Jones from winning. Whatever it is, Jones must either find a way to start being a Head Coach (which means if he has to be the hard ass that somebody like a Saban is at the office, firing people, etc) than he needs to do it. Basically, do the damn job he's been hired to do. I haven't read of any personal attack on Jones. College football is a business nowadays. It isn't personal.
Whatever the outcome, whether he stays or they bring in some 'unknown'. If Jones doesn't compete for a SEC Div and SEC Title next year, than many will look back and say that Jones should have been canned and a different coach given the reins, because really, if the results are the same with or WITHOUT Jones, what's the difference?