It definitely does depend on the game - games which have a real deep wizard mode, sometimes I *immediately* feel like "I'm done with this game" as soon as I get to, or (way more rarely) beat the big wizard mode. I only have room for 5 or 6 games, so it's actually beneficial to feel like I'm done with the game. Right now, I'm stuck with 6 games I never want to get rid of (TZ, MB, DW, Houdini, TH, WOZ), so I'm not sure what will happen there... I really want a POTO as well but no space for it.
Sometimes I get there though and it's a great rush - like MB which has Monsters of Rock, but since that is quite easy to get to, I don't feel like "oh man I never want to to go through that slog again..."