Oh, and hierarchy isn't the issue. Dominance-based hierarchies are - which is what patriarchy is. There are other forms of hierarchy such as the egalitarian "reverse hierarchy" that you spoke of.
"Another type of hierarchy is one of actualization. This is an organizational structure where the leaders not only expect support and respect from those whom they have authority over, but they also give it back reciprocally. Organizational goals get achieved through collaboration and relatedness, rather than paternalism or threats.
A leader in this type of hierarchy is someone who recognizes people’s potential and develops it in alignment with the greater goals of the organization. Special ops groups such as the Navy Seals use this type of hierarchy because it is much more agile than a more paternalistic style in which every move has to be approved from above."
"Patriarchal governance creates the social distance and vulnerability that cause us to work so hard to avoid the truth. Patriarchy creates a parent-child relationship between bosses and workers, and parents and children don’t expect to tell the truth to each other. In a partnership, not telling the truth to each other is an act of betrayal. One of the benefits of redistributing power is that people feel less vulnerable and are more honest."
Block, Peter. Stewardship (p. 41). Berrett-Koehler Publishers. Kindle Edition.