I had a read, it's an interesting piece though analytically I guess it would be more interesting to me if it pushed in one direction (did Lewis and/or other Inklings actually intend their Anatolianisms) or the other (why does the author personally read the Anatolian into the Narnian and what could that spark, create, or tell us). As it is, it sort of raises possibilities without following them up fully.
I did once start on a piece of writing that would incidentally have done something very similar - looking at parallels between Tolkien and Caucasian/Iranian mythos - and I might go back to it sometime. But I'm not wholly sure what the singular comparison would tell us in the absence of any evidence that Tolkien was directly using those elements, so it might be more interesting to use knowledge of those parallels creatively rather than seeking the roots of the relevant texts in them.
Also, yes, I agree it's a bit odd to read through something like this with so little focus on the sharp negativity with which Lewis portrays his walking orientalisms.