A quote from your first article:
"In the Eucharist, after the priest consecrates the bread and wine and they are, in fact, transubstantiated into the body, blood, soul and divinity of our Lord, our Lord is then entirely present. Neither bread nor wine remains. However, the accidents of bread and wine (size, weight, taste, texture) do remain."
I think he is trying to have it both ways. He is essentially saying that it exist simultaneously as the actual body of Christ and as a wafer. Obviously, that defies the laws of physics, but I guess an omnipotent being could do that.
Might be easier to swallow (no pun intended), if they claimed the spirit of Jesus was present in the wafer.
In any case, per the article I included with my post above, only 1/3 of Catholics believe in it literally.