If I'm finding codes (words) in my alphabits that are entirely undirected then that must mean that any codes (words) I find elsewhere are equally undirected.
Isn't that the basis of the argument? That unidrected codes in Tolkein is evidence that the codes in the Bible are undirected as well?
Right?
No, you're oversimplifying. The argument is that using exactly the same methodology that Biblical Numerists use to discover 'hidden' codes and prophesies in the bible can be used on any text with similarly prophetic results. This means that the codes found in the bible are almost certainly not placed there deliberately, or conversely, that God is speaking to us from every text ever written.
If you were to one day look down in your alphabits and find the complete Encyclopedia Britannica article on say, Botswana, spelled out in your bowl, then you would have some evidence that perhaps the encyclopeida entry had been written by random chance.