Couldn't get past "which for simplicity we can call the radical feminist view," in the third paragraph. Truly cringe-worthy to read in today's context (at least the cultural context I live in).
I don't agree with her on that (I think she found the logical errors, and wrote a good article, but I disagree with her conclusion), but that is what she meant anyway.
Also her target readers are feminist themselves, there is no need to anything there be cringeworthy, it is a feminist telling other feminists why one of their beliefs might be wrong.
But the contrast is pretty large. Don't know what should be considered "cringe".