However, ignore any differences between any of the genders and their assumed roles is not helpful.
This is part of what I was saying in the first bit. There are absolutely differences in genders that should be recognized and respected. But context is key. Assuming women are the “underdogs in heterosexual dating” that does not translate to talk about dating. In the context of dating advice and online discussions about relationships, I very much disagree that women are underdogs. But the author is using this, presumably, to support the prior sentence’s argument that women can “fairly” denigrate men in print for this reason.