That's a weak and pitiful argument and does not constitute absolute verifiability.
That same book (Deuteronomy) also (as pointed out in the article) makes the claim that no nation (i.e. no religion) would EVER make a similar claim. Some 2,500 years after Ezra and 15,000 religions later, still no takers.
Further, G-d promised the Jews that they would be an eternal people. Despite widespread hatred, the loss of their homeland, the ease of conversion to other religions and multiple attempts to literally exterminate the Jews, they are still here (and, with some 400 nukes and the ability to deliver them over a wide range, they seem not to be going anywhere).
That's about as close to absolute verifiability as you'll ever get. Actually, the holes in the facts are far more in the nature of mistakes by secular archeologists. There are, for instance, serious questions about the exact order of Egyptian Pharoahs - and lots of dates for events outside of Egypt are dependent on who was Pharoah when.
The existence of Israel is a fact which mean we ignore the rest of the Bible at our eternal peril!