Bill's not being used as a scapegoat. He wanted to be the the final say on everything related with the team and there was nobody left to blame but him. You reference Brady, but in 2019 the coachings staff was giving him the cold shoulder and Bill's sycophants were screaming up and down that Brady was washed and he was the problem. Then it was Cam, then it was Mac. Then finally they got their golden carrot in Zappe and he sucked too. There was just nobody left to point to to throw under the bus for Bill.
I hope Bill does win somewhere else as long as it doesn't hurt the Patriots because despite everything at the end, it kinda sucks that his image took a beating and that people want to hold the "Brady could win without you, but you have a horrible record without him" thing. But I sure as hell am not invested in him winning to prop up Jones over Kraft or to upset the owner here. That's just petty.