If what you say is true, then maybe keeping Capers around for so long was a financial decision, not a football decision. Possible, I suppose. I don't pretend to know how it works, but it only makes sense that McCarthy would have to talk to the money people when making decisions.
I doubt it was that black and white. I'm not suggesting that if Capers was deemed a terrible coach they wouldn't find the cash to buy him out. What I am saying is that if Capers was owned millions heading out the door the money may have been a factor. That factor may have been quite large dating back some years and declining as fewer years were on his contract, making it more palatable.
But I still get the impression that it's mainly the coach who controls his staff. For example, it was reported that McCarthy fired Capers, and that McCarthy hired Pettine. Maybe he has a budget to work with, or maybe he has to put the names through an approval process.
I was referring to events prior to Jan. 1 - 2, 2018. Thompson was moving out of the way and Capers got fired, with those reports within a day or two of each other. Thompson's stepping down may have been the removal of an impediment to firing Capers. At that point it was just McCarthy and Murphy; getting rid of Capers was likely a meeting of the minds. Now, McCarthy / Gutekunst / Ball all report to Murphy. Gutekunst is not McCarthy's boss. I would assume McCarthy has more power and budgetary input now. So, yeah, that McCarthy fired Capers and hired Pettine would be a fair assumption, with Thompson out of the way along with Murphy's stamp of approval.
Keep in mind, Thompson was a pretty controlling guy, with a lot of "I'm the decide" type comments over the years.
Speaking of monetary decisions, reports have it that Thompson was signed through 2018. If that's the case, that would explain why he's still around. It doesn't cost nothin'. I would not expect him back next year. It doesn't cost anything to say Thompson's stepping down for health reasons. It's a kind and fan-friendly thing to say. More likely, the time for a change was nigh and the move had to be made before losing the chosen successor.