It seems to me that Burton has entirely the wrong attitude to be thrust into the role he's been given. I can sort of understand their thinking, he's not qualified, but he's a smart guy, he has the potential to grow into the job and do really well at it and if it works he's not likely to be running elsewhere anytime soon. He's not the first guy thrown into a role he's not ready for, especially at a football club, I get that. The issue is if you're going to be in that position, you need to be a bit humble, admit you don't know everything and lean on others for advice and knowledge. Hell, even an experienced and qualified football administrator should still have those qualities. Burton, with his apparent arrogance and "I know everything" attitude is entirely the wrong type of person to throw into that sort of role and it's because of that attitude he's starting to fail.
So you've got a few options. Either Burton needs to re-adjust his attitude and admit he doesn't know everything, open the ears and close the mouth. You hire an experienced administrator to put next to him to keep him in check, or you just fire him outright....Or you could just ignore the problem altogether. Point is, something needs to change, because he is out of his depth.