Yea, I'm getting the feeling that if he plays card near the end of the deck he expect the cards at the front to get shuffled. With solitaire if you don't play anything off the deck and go through it, then it'll be the exact same next time through. Also, if you do play out of it, only the cards past that play will get the available (topmost) card shifted. Even in his first example of a draw of Q 10 5 he can't play the 10, only the 5 - unless he played the 5 to get to the 10... Which means given no cards were played before that flip, what he'll get next time will be that same Q followed by whatever the bottom 2 cards on the next turn would be - and if that's the end of the deck then only 1 card would turn, the Q, and it would be face-up.
Edit: Stupid page throw, this story starts here!
Edit: Stupid page throw, this story starts here!