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Take a simple test:
Does the term "good ol' boys club" suggest to you something you can locate in your mind, a term that gets you to nod, mm-hmm?
Try with your very same mind to conjure what the "good ol' girls" club suggests to you.
I've been sorting through my mental files. No results.
Women, like many other groups have existed outside the spheres of power for a long time, have had to hone their skills of discernment. And women have historically existed outside the spheres of power for a long time in so many cultures, civilizations, nations.
Which is why I think it is foolish for anyone to gauge what women will do. The XX chromosome is no indication.