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).

FWIW, reading that first link has made me less sympathetic to Team Red. I'm assuming you consider that blog to be a strong exemplar for the team or you wouldn't have chosen it; to me it reads as dripping with contempt for women and makes me take the idea that Team Red is engaged in dispassionate analysis less seriously.

On point 1, to clarify -- my experience (and no, I'm not literally talking just about my own relationships) is that we're talking about about at least a substantial minority, not rare exceptions. I also don't think the behaviors in question are scalar; it doesn't make sense to talk about them "on average" unless you're making a fairly uninteresting point about the modal woman, where then non-modal women are qualitatively different.

On point 2, again, the reason women are thought to vary less than men is that they have two copies of the x chromosome. It's a principle roughly similar to the difference between rolling 2d6 and 1d12; you expect a lower standard deviation in the former. And again, there's no reason for this to predict that women would be homogenous in their mating strategies.

Point 3 is basically assuming the conclusion.

Point 4. Not in this case.

Point 5. The comment you link to contains numerous inaccuracies about US divorce law, as is pointed out in that thread. Aside from that, what Lumifer said.

Taken literally, it is seen as pedantic, much like the guy who insists that every statement of the form "men are stronger than women" be followed by the suffix "on average". Of course in a planet of 3 billion women there are going to be some exceptions; that's not an interesting observation.

One thing I've noticed is that, whereas zero-article plurals in English are usually taken to only refer to central elements of a category (“ducks lay eggs” even though male ones don't) in descriptive statements, they often aren't in normative statements (say “ducks aren't allowed here”). Therefore, claims like “women are X; therefore, women shouldn't be allowed to do Y”, insofar as “women are X” would normally be taken to refer to typical women and “women shouldn't be allowed to do Y” would normally be taken to refer to all women, sound a lot like fallacies of equivocation to me.

Because the consequences of assuming a woman does not follow the Team Red model when she does are so terrible, a man is better off provisionally assuming that all women operate under the Team Red model.

The consequences you linked to are exactly the same for assuming a woman follows the Team Red model when in fact she does not.

I also already wondered if there is an analogue to the Alpha/Beta distinction in women.

There definitely are alpha and beta women, but it is not about slut / prude dilemma.

Imagine a group of young people discussing what to do, for instance which movie to see. If an alpha woman says, she wants to see Titanic, suddenly several men want to see Titanic, even though it seems disproportionate, if we have known those men for longer and are aware they do not generally like this type of films. Then a beta, or rather omega women says, she wants to see Matrix and is ignored.

What makes an alpha woman become alpha ? Confidence certainly helps, there is an analogy to PUA teachings. Women magazines recommend that all the time. Alpha woman probably does not behave in so strongly dominant manner, as is suggested by PUA for men. But still, she is somewhat dominant. I guess so. You tell me, boys. Beauty helps a lot, too, although there is anecdotal evidence, that bad looks can be overcome.

Now I start feeling lost as I am writing this, so I am leaving my theory incomplete.

In popular culture there the which get's often cited as a analogue to PUA practices. It contains such rules as:
"2. Don't Talk to a Man First"
5. Don't Call Him and Rarely Return His Calls
6. Always End Phone Calls First"

There are also other cultural difference between woman. In the social justice warrior camp you find individuals who argue that any physical touch from a stranger that isn't explicitly announced to be welcome is inappropriate.

If you go in a Yoga class, I think you find plenty of woman who don't have a huge problem with physical touch provided it's done in an aware manner. Those woman care much more for emotions and how it makes them feel than for following mental rules about what kind of touch is allowed in what circumstances.

They totally believe that they should be legally able to hire an employee based on the advice of a tarot reading or intuition instead of a specific intellectual analysis of the merits that a person has.

But I don't know how many of that type are active on Lesswrong.