Within the Redpill ideology, the female equivalent of alpha/beta is slut/prude.
I can't speak for the Redpill ideology, but in my experience the alpha/beta terminology is well applicable to both sexes.
I know some women who are (very clearly to me) alpha females in the direct terms of status and domination, and I know some women who are beta females and are cooperative, preferring to be led, even submissive. That distinction doesn't correlate with the slut/prude dichotomy.
In more general terms, the Blue and the Red positions are described in the {grand}parent post look like extremes on a continuous spectrum to me. The problem with the Red team is that it treats individuals as fungible: provide the right signals and it doesn't matter who your partner is. The problem with the Blue team is that it ignores the underlying mechanisms -- you just click together, it's magic, don't ask how it works.
For example, it seems reasonable to me that for a successful relationship people do need to "click" together (Blue), but whether they do click is determined partly by what they are, what image they present, and what signals they send out (Red).
in my experience
Sure, it's quite possible that people have a stable preference for dominant/submissive behavior in social interactions. I think that's a fairly uncontroversial thing to posit.
The problem with the Blue team is that it ignores the underlying mechanisms
That's probably because the "Blue" side is not actually a monolithic, self-aware school of thought. "Blue" is an exonym created by Red to describe the amalgam of conventional wisdom and pop-feminism to which they construct themselves as opposing (analogous to how "...
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