Will Angel Garcia's pride prevent him from stopping the fight..

[Bushidō]

Im wondering if Danny is getting beat up will he allow it to save face...

I think part of his craziness is an act to throw Matthysse off. I do not think he would hesitant to throw in the towel if Garcia was taking some bad damage. It's his son..no matter how unreasonable he seems he will take care of his son.