Feel free to show the evidence of them doing so.
There’s a vast difference between making a blanket unsubstantiated claim like “31 teams will also take every advantage they can to win” and actually having evidence of a team doing it.
I am not going to post evidence for all 31 teams, so let’s just say the breaking league rules is extremely common. It just doesn’t generate national headlines (unless it’s the Patriots).
In recent years, we’ve seen the Giants and Browns use illegal game day communications on the sidelines. The Jets have been fined for tampering. The Chiefs lost 2 draft picks for tampering. The Falcons lost a draft pick for pumping in crowd noise at home games. The Ravens have been punished twice for illegal activities during practices (meaning they engaged in contact drills which were forbidden during the window within which they occurred). The Panthers illegally warmed their footballs during a game on live TV for the whole country to see. Just this past year, the Lions and Steelers were caught violating rules for the injury reports. The Raiders were caught doing the same thing last year.
These things happen
constantly in NFL. It just only makes national headlines when it’s the Patriots.