How far can we say that the play is a tragedy?

'All my sons' is a tragedy in the traditional greek term of tradegy. This is because it doesnt really have any good or bad themed charecters only ones with fatal flaws or errors. These errors can be seen as Kate's unwillingness to give up on the hope of Larry's death, Joe Keller's error with the airplane cylinders and Chris and Anne just because they are in love and want to get away and start a new life with each other.
The idea of this being a greek tragedy is furthered by the facts that the action has already taken place before the actaul play and that the play is set within 24 hours.
Also the consequences in this play are worse than the actions as Joe with the faulty airplane cylinders killed 21 men and drove his son to suicide. This aspect of the play is kind of like a ripple effect as one thing leads on to another and so on, only seeming to stop when the person that started the effect is dead e.g Joe for selling the faulty cylinders in the first place.
Also Joe was mostly blamed for Larry's death and because of this he took his own life. To add to this last point that in tragedies there is a need to assign blame just like Joe taking the blame for Larry's death.

Arthur miller makes every character have a fatal flaw like Joe Keller’s airplane cylinders, Kate when she doesn’t give up on hope that Larry is dead and Anne as her fatal flaw is her being lonely and loving Chris. All of these fatal flaws affect each other in some way or are caused by someone else’s flaw.
Q-An exploration of the fatal flaws of the characters in the play ‘All my sons’?