Thomas Carlyle believes that women cannot be leaders (the theory of the great man). Is this statement valid if we count the number of heads of state and kings, and compare the number of male and female leaders?
We can consider, in the 21st century, that Thomas Carlyle's statement is wrong.
History is full of leadership exercised by women with equal or greater success than the leadership exercised by men.
I believe that if you take into account not only recorded history but also the myths and legends associated with leadership, we will find some parity between men and women and, I dare to assume, that it is possible that female leadership has more representatives, either from the direct or indirect way.
The fact that prehistoric men wore nothing doesn't mean men continue to do so now and in the near future. Taking into account the change of the universe and the development of human society, it could be wrong a logic/induction assuming that something had happened will happen in the same way (i.e., naive correlational prediction), especially when such a thing is an unethical order/mechanism. Today, it is crystally clear that the enslavement of women has been the biggest crime human have ever committed - the most prolonged crime against more than a half of them, the crime having no court, even internationally. Unfortunately, many persons have supported such a crime by presenting misleading/cheating ideas and theories, and many more advocate those ideas and theories for maintaining their interests.