[pzhon]

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I couldn't reasonably expect your edge as a heads-up player to be so great so as to overcome the rake, due to variance.

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Variance has nothing to do with whether your edge exceeds the rake.

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When heads-up, your "fair share" of winning hands is 50%. The house owns 5-10% of every pot. ... where am I going with this?

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I'm not sure where you think you are going with it. What you seem to be saying is that you think the stronger player's edge can't be large enough to overcome the rake. That is not a logical argument. It is simply a declaration, one which contradicts my experience and the experience of many people who play heads up frequently, e.g., props.

This has nothing to do with variance. Do not get variance confused with EV.