Reacting with anger to getting booed (after having one of his better games, no less) is more understandable and acceptable than walking off slowly. I don't care if any fans were ironically cheering him off, but wasting your teams time tangibly affects the game, and indicates that he's more worried about how he's seen than doing his job.
He should also understand that the fan's reaction to him was more about their general disappointment in a failing manager, and that he is the scapegoat for that. He should know the problems go deeper than his individual performances, and the fans are well aware of that. They also have to pay a lot of money, and, in the last 5 years, have had very little say when the club is clearly going in the wrong direction and in need of change.
And come to think of it, he probably is making it about himself. He started his Arsenal career really well, and then as soon as things got a little tough, even the good parts of his game went to shit. He's probably mentally much weaker than he presents himself to be.
I would give him another chance, just to see if he can react the right way. But, if his performances don't pick up, then fuck him.
