I don't think you read danr's logic correctly, but I could be wrong.
I interpreted it as "The reason women want to be treated differently [from how they are NOW] is that the world is a sexist place." Not, "The reason women want to be treated differently [from MEN] is that the world is a sexist place."
Either you are wrong or danr shifted goalposts, then. lohengramm's point pretty clearly is talking about women being treated differently from men, not women being treated differently from how they are now.
Pretty brilliant logic, there. You missed OP's point entirely.