Alpha Mail: is sigma the alpha of gamma?

The League of Bald-headed Men posits an interesting theory in light of the discussion of Thrift Shop Game:

An interesting ditty. It shows that the hipster irony culture has filtered down to the proles, wiggers and normals. 'I could take some Pro Wings, make them cool, sell those."

This hipster irony culture is pure gamma, it's the acme of gamma. "You made fun of me for being a geek, and now I'll make geekdom cool."  This goes hand in hand with my theory that "sigma is the alpha of gamma", ie that sigma is what happens when gammas enact their will to power. 

I, on the other hand, have tended to be of the opinion that sigma is what happens when OMEGAS successfully enact their will to power or otherwise transform themselves into sexual dominance.  Let's consider the evidence for the One Man Riot's theory, pro and con:

PRO:

• Sigmas often appear to have intellectual interests more in common with the average gamma than those of the average alpha.
• The gamma-sigma antipathy appears, in some circumstances, to be even greater than the gamma-alpha version. A product of similar traits clashing?
• Neither sigmas nor gammas tend to be socially dominant.
• Both sigmas and gammas often appear to be vengeful.

CON:

• Gammas are extremely concerned with hierarchy.  Sigmas and Omegas are not.
• Hipster irony culture is pure gamma, but it is extremely fashion-conscious and therefore hierarchical. While it may be the acme of gamma, it doesn't appear to have anything to do with sigma.
• Gammas are bitter, jealous, approval-seeking, and rule-abiding. Sigmas are contemptuous, disdainful, and rule-breaking.
• Gammas find conflict painful and tend to avoid it. Sigmas find conflict enjoyable and tend to thrive on it.

I'm sure I'm missing a lot of applicable observations; feel free to add more, either pro or con, in the comments.  In summary, while I don't think the League's theory is absurd, I don't think it holds up when considered in sufficient detail. And I can't honestly think of a single sigma of my acquaintance that I would have considered to have been a gamma in the past.

Speaking only of my own experience, I can say that one thing that separated me even as a pre-adolescent proto-sigma from the omegas and gammas alike was my supreme confidence in my intellect and in my athletic abilities.  The refusal of my age peers to value the former and the inability of my coaches to understand and utilize the latter never caused me to doubt either for even a millesecond.

So perhaps that imbalance may be a key to understanding why a sigma develops such indifference towards the hierarchy.  He is aware that he is objectively superior in one regard or another but also knows that the hierarchy is incapable of recognizing that superiority or valuing it fairly.  It also would explain the apparent similarity between the sigma and the gamma that The League has observed, the important difference being that the gamma's belief in his proper social rank is subjective and intrinsically delusional.