I believe the quote from Mr. Cokeley's Dr. to be far from the truth, in fact medical evidence has already proven that ringworm which is a fungus can be transmitted by wrestling mats just like any other fungus, and indeed pretty much any other surface.
I have included a link below which backs up that claim, and there are probably thousands more just like it
http://www.intelihealth.com/IH/ihtIH/WSIHW000/9339/10733.html This is why it is important to keep your mats as clean as possible and any other surfaces that wrestlers come into contact with. I don't know Mr. Cokeley's Dr. But if he did truly say this, I think I would have to question his credentials, that right there is enough for a malpractice claim, not that anyone would ever do that.