What kind of prediction could you possibly make about "almost all the remaining unexplained human ailments", that could be checked to see if it's true?

And even if there was something, you haven't actually made or tested the prediction yet. So not only have you used dodgy inferences, you're putting the burden of proof on the wrong side. It's not up to other people to prove it false, it's up to you to prove it true, and if you haven't done that yet, you have no business believing it.