ITM is more important than win a hand.
I agree and disagree, depending on the hand. If it's a hand like 55, sure, let it go. Especially if you aren't getting set mine
odds, winning that hand isn't important.
With the exception of a satellite, folding AA on the bubble is not a profitable option in the long term. Yes, you're looking to cash but you're also look to run as deep as you can, hopefully making FT and taking it down but are you setting yourself up for that if you're folding AA in this spot.
Let's look at it another way, lets say you have AA with 35 BBs on the bubble. You can fold and are guaranteed to make the money 100% of the time or you can risk your stack on the bubble and lose ~20% of the time. So, what do you do?
-If you fold, congrats. You made the money and still have 35 BBs.
-If you call, you're losing 20% of the time but the other 80%, you're still making the money and now have 70+ BBs.
Which stack size is more likely going to propel you further in a tournament? I'd rather have 70 BBs 80% of the time instead of 35 BBs 100% of the time.