The two essays you consider “cogent and well-argued” are an oafish mass of pseudoscience that condemns yourself as much as the two people who wrote them.
Your complaint about the article I linked to is irrelevant; if you don’t like the way the author configured the Piri Reis map with modern maps, arrange it another way all you like. It’s not going to bear out the phony assertions that the PR map accurately depicts Antarctica. That the Piri Reis map connects the supposed “Antarctica” with Brazil in one single, solid land mass ought to be a major clue.
Your complaint about the article I linked to is irrelevant;
Of course it is. Premises are so overrated.