You need to know how many chips everyone has at the table to make good decisions in no limit holdem. Let's list a few hands that show why stack size needs to be in your thought process. Then, I think you will agree that stack size is key.
Here is a very simple example of where stack size affects a decision. The game is NL $1/$2. You are in the small blind and everyone has folded. You have $500 and your hand is 44. If the big blind has only $25 in his stack, you could just push all in. You could even bet $8 or $10 planning to play to the end. This would surely be profitable.
Let's see what happens if we change the big blinds stack to $500. Pushing all in wouldn't be such a good idea. Even though you would win the blinds often, getting called spells disaster. You will normally lose $500 trying to steal $3.
How about this. Would you put $100k in there for the $3. If the only hand that calls you is A,A (1/220 times), this is what happens. You win three dollars 219 times and then, bam, you go broke.
If you could convince the guy with a $25 stack to only play A,A you can push all in and make money consistently. You will show a nice profit even without ever winning when he has A,A.
Now, let's say you have 3,3 with $500. The blinds are $1/$2 and you limp in. The BB raises to $10. Depending on his stack you could call, fold, or raise.
Against his $15 chip stack you could argue for any option. So, now you go by what you know of this players game, to determine a move. With $40 you can fold pretty easily.
WIth this hand, you need to get that 3rd three to be confident to win and that is only a one out of eight times event. And, you are only going to make five times the $8 if you had called. Given a $500 stack, you can easily call and when you hit your hand, you might make way more than the 8 times you need to for long term profits.
6,7 suited is a hand that you should play when everyone has a lot of chips. There is plenty of money availiable to get big profits when you catch a monster. When no one has very many chips, you can't make enough money when you hit the hand.
With A,A or K,K you will find yourself in some difficult situations when players have lots of cash. It's very hard to know if these pairs are still good, so you will find yourself paying off people who hit the flop.
This situation is reversed with small stacks at the table and you can get aggressive with the big pairs. Often the preflop betting will commit you to the hand anyway. This is pretty mindless poker.
When everyone has radically different stack sizes this can get complex. Regardless, when you want to bet, you have to consider the stack size of each player involved.
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