Brady, Belichick and the pats are still considered the best team ever. I wrote a post on this a few years ago about fans not being able to discount winning due to cheating. Sure they cheat but they are the best team ever... Why? Because they win... but they win because they cheat... It's like some illusion that fans can't put together. They just see the winning. You ask most fans about the best team and they will answer the pats... but the team that has been caught cheating wayyyy wayyy more than any other team in history is the pats... not including what they got caught for and didn't get punished and the times they cheated and didn't get caught.
So the truth is the pats "dynasty" is a work of fiction. Given all the facts that should completely discredit them, it doesn't matter. I'm not sure if fans can't overlook the wins or what.
To me they should have asterisks by games that they were caught cheating. At a minimum.