Football is a game of inches and in many cases there is a very fine line between a W and an L.
The coaches get paid big bucks to take the blame. And clearly in the aggregate they actually do merit credit or blame.
But coaches never actually take the field and no coach in the world teaches a team to jump off sides, or false start, or throw a ridiculous interception, or get an interception and in the exuberance of trying to make a play possibly turn the ball right back over. Even if he didn't.
As Zach Wilson so eloquently stated about getting absolutely demolished on his first sack. It's a team game. And the guy that crushed him, on that play, was his responsibility because it was the hot read.
In the aggregate, coaches absolutely deserve a huge amount of the credit or the blame But in individual games, and certainly individual plays, it's usually far more complex. It's a game coached by humans and played by humans. Humans make mistakes.
Even Bill Belichick has lost Super bowls.