If anything, Arnold welcomes critique! It's like adding fuel to the fire which gave him the drive to prove others wrong.
His only 'proof' was his success on stage and as a businessman. The foundation of this was his strong willpower and self-assurance, not(!) by great genetics or good arguments. He only welcomed critique if it was in his(!) advantage, like the feedback from his financier Joe Weider ("don't bite your feeder").
This book, for example is full of critical anecdotes about him, and guess what? He sued Wendy Leigh for this trying to prevent it's publication.

And you said it yourself, Arnold did "mind owning" which made him the winner, if you will. So how Mike is the fucking man makes no sense.
Hold on, I think you and me have other values on this, which is fine. I have more respect for someone with good debating skills (Mike was not allways tactical, but he came with arguments), than someone with good mind owning skills