Ahh, but there are no real stats available on these live games. I'm not denying that what you are saying is true, but I think it may be less true than you are stating.
Clearly if you have a loose strategy during the rebuy tournaments then you are going to get into the prize money more often than a player who plays his normal game and then goes home without rebuying, or than the player who plays his normal game, but who is willing to rebuy.
Let's take average entry fee for LP as 3, average entry fee for NP as 1.5 and average entry fee for TA as 1.
That means that NP can enter twice as many tournaments as LP, while TA can enter 3 times as many tournaments, for the same buy-in. Put another way, it means that LP can get unlucky once and survive in the first tournament, but TA is playing in three tournaments. He is out if he is unlucky in tournament A, but he has two more tournaments "for his money". He has three shots. If LP gets unlucky THREE times, he is likely to be out. And he is no more likely to be unlucky three times in one tournament than TA is likely to be unlucky three (separate) times in three (separate) tournaments.
The undeniable strength of the big stack (particularly in the old days) was the fold equity you got for your bets. I think that the "it means that you can be unlucky" line is counterbalanced by the increased average entry fee that you are paying.
Re: Rationality
Clearly if you have a loose strategy during the rebuy tournaments then you are going to get into the prize money more often than a player who plays his normal game and then goes home without rebuying, or than the player who plays his normal game, but who is willing to rebuy.
Let's take average entry fee for LP as 3, average entry fee for NP as 1.5 and average entry fee for TA as 1.
That means that NP can enter twice as many tournaments as LP, while TA can enter 3 times as many tournaments, for the same buy-in. Put another way, it means that LP can get unlucky once and survive in the first tournament, but TA is playing in three tournaments. He is out if he is unlucky in tournament A, but he has two more tournaments "for his money". He has three shots. If LP gets unlucky THREE times, he is likely to be out. And he is no more likely to be unlucky three times in one tournament than TA is likely to be unlucky three (separate) times in three (separate) tournaments.
The undeniable strength of the big stack (particularly in the old days) was the fold equity you got for your bets. I think that the "it means that you can be unlucky" line is counterbalanced by the increased average entry fee that you are paying.