But how is that any different, just because more cards have been dealt? Unless you only put in chips on the river, and only with the nuts, then you are either going to sometimes put them in behind (or dead on the river) or "rely heavily on luck alone", because you dont know, what your opponent has, and usually he has equity until the river. Like maybe you have AsKc on KhJh4d, and your opponent has Th9h. Then you are also "flipping", because he has a 12 out draw with two cards to come. So what is the difference between that situation and getting TT all-in preflop against AQ? The answer is, there is none. Luck is a big part of poker, and if this is difficult for you to accept, then honestly maybe its not the game for you? And I mean this in a 100% serious way
If we agree that playing in position is powerful, because we have more information when we are in position, then wouldn't the same be true with additional cards. Pre-flop we know 2/9 of the cards that matter or 22%. On the flop we now know 5/9 of the cards that matter or 56%. We can always make better decisions with more information.
Short stack play leaves us few options and we will need to go all-in in order to take advantage of whatever fold
equity we might have. We are not doing this because we want to flip for our tournament life, we are doing this because we have no more choices.
When we do have choices, I do not think tournament all-ins are the best use of our resources. Flipping (between 45-55% equity) multiple times when we are covered is a recipe for hitting the rail. Luck allows us to win these, but the probabilities are against us. AA at 83% equity is not a flip, but if we get AA 6 times in a row, we are "probably" going to lose one of these. But with 83% we certainly want to win some bets, not just the blinds.
A single pair is just not a very great hand, even if AA. We can never have more than a pair pre-flop. We spend a lot of time in poker with one pair
hands so we have to play them as best we can. Fold equity gives these mediocre hands a boost when we bet.
To win tournaments we do have win these flips. But, we should only be all-in on our own terms.
Good luck and God bless.