When you have a coach winning 2/3 of their games on average (with some seasons a bit better/worse) and you think you are capable of more... it’s almost always better to invest in the program infrastructure (Staff, facilities, training, nutrition, housing, operations etc) than go coach hopping.
There is a reason certain programs on average are winning and others not, not matter of the coaching carousel. This is not 100% true but I think it’s true more often than not.
So, if you are a program that has decided you want to compete for conference championships (and even CFP births) and you haven’t been that type of program in the past, get a coach you believe in and relentlessly upgrade your infrastructure consistantly over the course of 5-10 years until you are top 1/3 of P5 and your results will almost assuredly follow.
I don’t believe you need to be top 10 in infrastructure to compete, but if you’re not top 1/3 of the peer group you are trying to compete with, then you found where the money should be spent (probably not on another buyout and another overpriced ‘name’ coach)