Is Patrick Bateman (from American Psycho) "Alpha"?

• He spends lots of time Working on his appearance.

• He considers himself superior to Paul Allen; He attended Harvard and Allen attended Yale.

• He easily breaks up with a long-time HB.

• He lives in his own reality.

• On the other hand, he is hundreds of times more chauvinistic than anyone on seddit, and he's constantly seeking approval.

tl;dr: Roissy thinks charlie sheen is "alpha." Is Patrick Bateman, another insane (yet fictional) individual, worthy of the same title?