What gender differences? The point of promoting neutrality is to say that in reality, there is no person who is strictly masculine or feminine, and it's silly to make things that have no gender, i.e. nail, skin, and hair care, auto maintenance, colors, insinuate one gender over another.
The problem with patriarchal society is that it is engrained in us as children. By not indoctrinating a child with arbitrary boundaries based on gender, they don't grow up to perpetuate the same system of gender roles.