As a youth who has participated in both I can say that though both produce some similar sensations they are definitely not one and the same The fainting game produced in me and all of my friends who participated about  seconds of unconsciousness with every friend claiming that this was the effect of the game it was basically the socalled fun of the game passing out for seconds and going into a semilucid dream state that felt like an extended reawakening of reality upon coming back into consciousness as if the moments preceding the faint were part of the dream experience  Inhaling nitrous oxide did also put you in a sortof dream state but the high was more of a sensorymotor change than a loss of consciousness