That is, bluntly, an astonishing article. Its careful review of numerous early sources seems to make it quite clear that the weight of testimony is overwhelmingly on the side of Joseph Smith having translated the Book of Mormon by looking at some kind of peep-stone, and not at the plates at all.
Daniel Peterson (the well known anti-Mormon TV pundit) was evidently in the right on this one.
One striking quotation that I have never seen before in this connection (op. cit p. 51) comes from Oliver Cowdery in 1838:
I have sometimes had seasons of skepticism, in which I did seriously wonder whether the Prophet and I were men in our sober senses, when he would be translating from plates, through 'the Urim and Thummim', and the plates not be in sight at all.
Of course, when he wrote that Cowdery had (temporarily) lost the Spirit, so he was an anti-Mormon and we can ignore what he said because it must be lies. The Church would definitely not be publishing pictures of Joseph Smith translating by looking at the plates if it didn't really happen that way.