I would like to note here that according to Koizumi's Greater Haruhi Theory, Haruhi just manufactured this Kyon to prevent the logic of her mental universe from falling apart. Therefore, his entire memory of the strip poker, along with anything else from the past week or whatever, was manufactured on the spot. We can assume it came from some dark area of Haruhi's mind where she thinks of things she'd love to do if there were no social constraints.

Dayum, I thought this was another Kyon plucked from another plane of existence parallel to their current one.