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In game, the ICM analysis pretty much has to be intuitive. You don't have time to do the real calculation. That's why you have to do those quizzes, so that you have a feel for the EV when it comes up in real time.
That said, the difference is due to bubble considerations, if I'm understanding your post. I'm pretty sure SNG Wiz takes into account the BB going into the SB in the next hand, and that may account for it. Other than that, unless it's a significant difference, I wouldn't worry about it.
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