This is my biggest question. My feeling is, McCarthy may have thought to himself, if Moore can do it, I can do it. Or it was a last ditch effort to finally blame not having full control on the reasoning for not winning.
On the other hand, here is the argument. Sure, Jerry, I'm the head coach, but I don't have full control. Anyway, lol, I think that's what triggered Moore's firing. Someone had to pay for the "sick" feeling the Cowboys felt after that game. Nobody could be as good as them; in their minds, on any given Sunday. That's the problem with the Cowboys and their fans. They believe they are supposed to win; not that they have to earn the win.
Here's the scenario I dread, though. McCarthy challenging McClay for his role, and wanting full control, and Jerry bending to his demands. Say, if Mike wins a SB. McClay stays, though, I would hope. In my opinion, he's doing all the GM duties while everyone is blaming Jerry for having three 12 win seasons in a row. How's that for a terrible team?