What I think this article makes clear is that for JB, feminism isn't women talking together about politics, economics, family, and how those things function (or not) in society for the good of women. Or even about taking concrete action to help women.
It's about accepting a certain left wing marxist analysis of society that interprets male and female roles as a class relation, where women who side with men over other women are victims of false consciousness.
What's interesting is that it doesn't seem to occur to her that some women might take that understanding at face value and reject feminism because they reject that way of thinking about society and class overall, or think it's not relevant to male/female issues, or even only partly relevant. That is, they don't disagree because of false consciousness but on points of intellectual principle.
And then I wonder, would she recognize that men might disagree on points of reason, or is it only women?