you can't argue that someone's references are possibly fabricated, and then support your own point with your own "scientific" reference.
really it comes down to: if you ever find yourself arguing that someone's references are likely wrong because they are in the humanities... well...that's a conversation ender.
and i have a phd in math. believe me sometimes humanities people rub me the wrong way. but i would never make a general statement like that, and especially not to "prove a point."
it's the refuge of a scoundrel.