Neutral pronouns

I doubt that anyone would claim that neutral pronouns will eliminate sexism. However, the simple fact is that it is grammatically unjust – grammatically demeaning - that a male noun or pronoun may signify both men and women, but the corresponding female noun or pronoun may not. If man, men, and mankind can signify both men and women, then why shouldn't woman, women, and womankind signify both women and men? If he can signify either a man or a woman, then why shouldn't she signify either a woman or a man? Justice is an absolute principle that demands strictness. There might be some practical delays in the achievement of justice, but there can be no exceptions in respect to recipients and modes.