They site a number of other studies to support their view. I think there could easily be societal explanations for these differences.
I will say, though, that when I read Deborah Tannen’s book You Just Don’t Understand about the differences in how the genders communicate, that the emphasis on hierarchical dominance for men was eye opening for me. I just do not see the world that way. It was interesting how all consuming it is for men to gauge their status compared to others. It also explained why a lot of women’s behavior focused on creating consensus is often seen as submissive by men.
For example, she was saying how the meaning of “I’m sorry” is different for men and women. Men see it as a submission, whereas women see it as a way of sharing concern. She was saying that a lot of women who are trying to move up into the c-suite have to be taught not to say “I’m sorry” all the time because of how men perceive it.