There were some interesting comments on that page, GAD, that reflected my concerns about narrowness and about hierarchy.
As a feminist woman, I should never fail to observe where sexism is in play (though I do, being an imperfect feminist) or stop working to mitigate and/or remove sexism. The fact that I'm a feminist woman doesn't, however, give me authority to know what ails every woman. I am sure that sexism ails every woman to an extent, because of the patriarchy. But, if my Brixton neighbours say racism is an even bigger problem for them than sexism, then I must respect their more informed judgement.
It's impossible, therefore, to look at feminist issues without also taking other -isms into account. The only exception to this is when I'm looking at feminist issues relating to white, able-bodied, straight, educated women in Britain - I'm competent to identify how much of the problem is down to sexism here, because no other -isms are at work. This came home to me on a personal level when I started to experience ageism.
Feminism, imo, should recognise the importance of intersectionality without either diluting its own message or downplaying other factors.
The essay on kyriarchy that I read appealed to me because of the honeycomb idea. Real life doesn't suggest rigid, layer-cake power structures to me; more a system of privileges balanced precariously upon one another. If hierarchies were neatly defined, you'd be able to declare that one disadvantage was worse than the other - but you can't. Does an educated, straight woman have more or fewer privileges than an illiterate, gay man? How the hell do you measure that?
I believe it's natural for humans to seek hierarchical structures - plural - because we're hard-wired to look for patterns. They help us predict what will happen in a given situation. But I think it's a mistake to say there's a hierarchy, or a hierarchy of hierarchies: it's an oversimplification.
I'm rambling far too much here, mainly beacuse I keep being scared of saying feminism should be taking care of other human problems besides sexism! That's not what I think, of course; feminism exists specifically to address sexism against women. But I do think it can be too narrow, too rigid and too hierarchical in its theories. Eradication of the patriarchy would not cure all human ills. Feminism should recognise that it's part of a complex, in which each part's relative importance must shift according to circumstances.
... even that's a bit waffly, but at least it's only one paragraph 