I used to believe the same thing too. I mean it only makes sense, right?!?!? Alas, what you mentioned is not the case. If you play the set aside at the end of your turn (discard phase), then your very next turn (after you draw your cards), that counts as one turn. So then you bring your character(s) back and draw the cards or whatever the special ability of the set aside allows the character(s) to do.