[SplawnDarts]

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In this case, if I was equally skilled as you were, just the fact of choosing between two hands would give me an edge.

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Care to elaborate on this? Yes you get to chose between 2 hands. But 2/3 or the blind money every round comes from one of your 2 stacks. It's not at all apparent that you're getting any advantage there.

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Well think of it this way. There are three of us, all equally skilled. Over time we all pretty much end up even. Now, me and the third guy start showing each other our cards preflop.

Surely you can see that just by showing each other our hands, you will start taking the worst of it.

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Maybe I'm taking your post too literally, but I fail to see how simply showing the cards is going to help you. You're going to have to take some concrete action based on that knowledge, or it's of no use.

So far, I've seen a few credible suggestions of actions to take:

1) Dumping chips from deepstack to shortstack in a tourney
2) making additional preflop folds when dominated by your collaborator (TH only)
3) "whipsaw" raising
4) Doing pot odds math with 2 fewer remaining cards and a better count of outs, givning you more accurate numbers

Of those three, I can't see any of them giving a big edge against a sound player. 3) in particular is dangerous since it effectivly lays 2:1 odds to your opponent.