That "People don't drink their own pee when they're faking it" argument was pretty good, in my opinion. The hosts could only resort to ridicule and say that the "possessed" woman was doing some great method acting.
I think they demonstrate the truth of the scripture "The natural man cannot understand the things of the Spirit of God because they are spiritually discerned." Science only can deal with what is natural. If something were indeed supernatural, we should expect science to be at a loss, right? Is it appropriate to a priori rule out supernatural explanations of all phenomena? As the saying goes, "When all you have is a hammer, everything looks like a nail."