The would make as much sense as the other "theories" they've encountered on their wild goose chase, which is also what the search for the plane has been. Perhaps the Templar time machine retrieved the lost plane from the secret treasure house of the Aztecs after it moved that treasure back to Soilomon's Temple, and gave Francis Bacon's Shakespeare manuscripts to the producers of "National Treasure 3".
Lol. You got the sarcasm.