We've already gone over this. Yes, it seems like they have a quick trigger from an outside perspective. But the take I agree with is they wanted Rex to be here long term but they realized they made a mistake and decided to correct it. That is a different reason than they wanted the playoffs or else which is what the national take is.
I think Rex would still be here even at 8-8 if he did better with the defense and seemed like the long term answer.