Found a relevant point in Lindgren's book:
"Playing Conservative Against the Big Stack
Let's look at a hand example that would play very differently against a big stack than it would against a small or medium stack. I'm in middle position and open for a raise with A-9. A smallish stack calls me on the button. He's only got about the size of the current pot in his stack after he calls my raise. I'm first to act on the flop and it comes ace-high. I'm putting my opponent all-in. Either I'm going to move in myself, or I'm going to check with the intention of calling my opponent's all-in. The point is this guy is not "winning" this hand without putting all his chips in the pot. Even if I don't flop an ace, I'm going to set my opponent all-in a good chunk of the time--pretty much anytime big cards flop or I think the board just missed him.
Now, let's say instead that a big stack called my raise on the button. If the flop comes ace-high, I may well check and fold! If I don't check, but instead decide to bet, I'm almost certainly folding to a raise. If I check and call, I probably won't check and call a second time.
Why would I play so conservatively against the big stack? Well, first of all, I don't really have a hand. Top pair with a nine kicker is a monster against a short stack, but it's a piece of junk when both players have a lot of chips. Second, I'm out of position. I don't want to put myself into difficult decisions out of position when I can simply fold and go back to hammering away at the short stacks on the very next hand. Finally, the big stack probably has a hand if he's calling me. Most big stacks don't want to risk elimination in the tournament by running into another big stack and while I'll gladly risk elimination if it means increasing my chances to win the event, not everyone plays like I do. When you get down to it, no one likes to go broke--not even me. But if you can make everyone else believe you don't care about risking all your chips, you have an enormous advantage. That's what happens when another big stack enteres a pot with me: he's telling me he'll risk going broke with this hand. And that usually means I have to get out of the way."
So I think Lindgren is playing on the fly while Copernicus is planning ahead. Either way, pretty much the same idea.
and just to bridge his quote to my post, if hes a player that you would consider check/fold against when you hit your hand, then calling in the first place is a waste.