[Deorum]

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In short, your answer is "yes" regardless.

Take a situation on the bubble of a SNG (50/30/20 payout) with 200/400 blinds. You know the SB is pushing any two cards.

SITUATION 1:
UTG (400) Fold
Button (400) Fold
SB (12200) Pushes
You BB (500) with AA - CALL

SITUATION 2:
UTG (400) Fold
Button (400) Fold
SB (10300) Pushes
You BB (2400) with AA - FOLD

SITUATION 3:
UTG (400) Fold
Button (400) Fold
SB (6350) Pushes
You BB (6350) with AA - CALL

I didn't check numbers, but I'm fairly certain those decisions would be correct.

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Change AA to QQ and I agree.