I can tell you this without a shroud of doubt; your hair color has absolutely nothing to do with your personality, temperment, or whatever.
Your genetics definitely could, but 0 to do with being a redhead.
And that is a fact. Unlike the one you read off the internet. The most impulsive, adrenalined filled people have typically been dark haired people. And sure, there's a lot more of them, but even so the stats per population remain the same per ratio.
I don't find any value or reason to simplify who you are because of hair color. I've known plenty of redheads throughout my life that would completely contradict your notion. Your genes make up most of who you are, not the color of your hair or skin.
I'm Irish btw, so I'm not coming from a place of automatic dismissal, but rather an understanding. As far as Bill Burr goes, he's a comedian and the character he wants you to see. I love Bill Burr, don't get me wrong, but in any clip like this he is playing a part. That part is certainly part of him, but none of us know the real him.