His numbers were with prime Rodgers and with an also very good Dak Prescott. At a certain point, you look at the talent he had, and kind of do point to a good situation as being the culprit of his success. He was fortunate to be hired into two positions set up for longterm success and without an ownership that felt the need to fire people suddenly, so he had time to build up his wins totals.
And a knock that's been used against the Packers is that they didn't win more with Rodgers, who had an argument as one of the greatest QBs ever while in Green Bay. A lot of that has to do with management making some dumb decisions, for sure, but winning a single Super Bowl with Rodgers is like winning a single Super Bowl with Peyton Manning. Not laudatory, but that's it?
You are right that Rodgers went more masks off post-McCarthy, so maybe he's a good temperance figure on the crazies, but time period-wise a lot of people lost their minds post-covid and their relationship to McCarthy wasn't a defining factor. Maybe connected, maybe coincidental.
When he was a Packer coach, loads of Packers fans griped constantly about his dumb coaching. When he was a Cowboys coach, loads of Cowboys fans griped constantly about his dumb coaching. Fully expect that trend to continue and then some if he's a Bear or a Saint or a Jet coach, especially without the depth of talent or peak of talent that his first two teams had.