I disagree. Note especially that the four criteria state only that Participants 1 and 2 are not stooges. Participant 3 is identified as a "spectator." That's a loophole you can drive a truck through.
In both videos, there is extensive palming of the cards going on.
Ask yourself, "Why do Participant 3 in both performances hold the card deck in two hands with one hand over the top of the deck"? Why can't the card deck stay on a flat surface? Why does it have to be held in two hands by Participant 3?
Watch the YouTube video again:
Now stop the video at 4:37. Participant 3 moves his left hand over the deck, while at 4:38, the magician makes a jerky motion with his upper body and both hands of the exact type which evolution has trained our eyes to move to automatically.
Participant 3's hands remain over the deck until 4:41.
If the deck were already in the correct order somehow for the trick, wouldn't it be much more of a show to leave all the cards on the table, and have Participant 3 reach down with his thumb and forefinger of one hand and daintily turn them over one-by-one?
There are thousands of professional card sharps who can palm a matching card onto the deck at 4:37. And there are thousands of people who can professionally disguise themselves.
http://tvtropes.org/pmwiki/pmwiki.php/Main/ManOfAThousandFaces
The simplest explanation for how this trick is done within the confines of the four criteria (Participants 1 and 2 are not stooges) during the second performance on the YouTube video is this:
The magician calls out a random person to be Participant 1 and name a card. The card is named. The magician's assistant has an organized deck secreted on his person, and pulls out the matching card. The magician gives him plenty of time to do this while selecting Participant 2 and bantering with her. Then and only then is Participant 3 identified and anybody notices him in his boring white shirt and boring white hair. He comes up on the stage, picks up the deck, and at 4:37 palms the correct card onto the top of the deck when the magician pauses in the counting for the Big Reveal and makes a classic audience distraction motion at 4:38.
Presto. No paranormal activity, no mental powers of suggestion, no memorization of card order, and Participants 1 and 2 can indeed be anyone on earth.