To discuss the idea of competing concepts encapsulated of "life is unfair, get used to it" versus "life is unfair, so we will make it fair", the former statement is that of fact and the latter is that of intent. Life may be unfair but that does not mean that you cannot game the system to your favour. It is usually spoken in a positive manner in the same spirit as "pull yourself up by the bootstraps". Yes, life is unfair but that just means that you have to be better, stronger and smarter. Naturally it can also be spoken as "I have it good and you don't, tough".
The latter statement is far, far more ominous. How does one go about creating a fair and equal society? Practically every time it has been tried, blood ran on the streets, horrors and atrocities became commonplace and society STILL remained unfair at the end of it. Simply put, those in power will use that power to enrich themselves. Sure there might be the odd virtuous ruler, a Cincinnatus, who refuses to put his power to corrupt use but these are rare. Sure a lot of the time it comes across well as a slogan but it ultimately devolves into force; people who have plenty are usually loathe to give up the vast majority of their holdings for the sake of "equality". When their goods are seized and distributed, some people will end up more equal than others in the distribution. Even if you could create such a society, how do you account for people who possess both drive and talent on one end of the scale and those who are both lazy and useless on the other? Why would both of these individuals be remunerated the same? They might have equal rights, yes, but other than that they should be able to rise or fall on their own merits. The best implementation I have seen of this mindset is the insurance of equal opportunity for all members of society. Something that falls apart quickly due to connections, tutelage from their elders and whatever advantages money can buy.
To attribute this thesis to biological sex. Well, that is making an assertion that sex is a bigger determinant of character than say, culture. To posit that a woman in Russia would have the same mindset and values as one in China, Brazil, Niger, France or Canada (as random examples). That is not a statement I am sure I could fully defend. It assumes that ~50% of humanity basically think the same and while there might be a biological component to behaviour, this assumes that there is no learned component to muddy the waters significantly.