The distinction was made long before I pointed it out. Maybe this will help. It's got Greek words, so you should like it.
terryeckersley2014
And in this link, G. K. Chesterton is quoted.
The secret of authority
Patriarchy
involves power but it is
about authority... not about power itself. That was Saul's mistake.
This definition is taken from Wikipedia.
https://en.wikipedia.org/wiki/Patriarchy#:~:text=Patriarchy literally means "the rule,domination, authority, sovereignty".
Here is a copy and paste from the link.
Etymology and usage[edit]
Patriarchy literally means "the rule of the father"[7][8] and comes from the Greek πατριάρχης (patriarkhēs),[9] "father or chief of a race",[10] which is a compound of πατριά (patria), "lineage, descent"[11] (from πατήρ patēr, "father"[12]) and ἀρχή (arkhē), "domination, authority, sovereignty".[13]
Historically, the term patriarchy has been used to refer to autocratic rule by the male head of a family; however, since the late 20th century it has also been used to refer to social systems in which power is primarily held by adult men,[14][15][16] particularly by writers associated with second-wave feminism such as Kate Millett; these writers sought to use an understanding of patriarchal social relations to liberate women from male domination.[17][18] This concept of patriarchy was developed to explain male dominance as a social, rather than biological, phenomenon.[15]
I do not agree with Kate Millett.
