Patriarchy, like all words is created out of the evolution of language. (Human, Overt and Distinct) Language is the collection of sounds and geometries/numbers into comparable, repeatable, and sharable forms for the purpose of communication and identification between human beings to describe life.
Patriarchy-
"the rule of the father", comes from the Greek πατριάρχης (patriarkhēs),"father of a race" or "chief of a race.
Patriarch",which is a compound of πατριά (patria),"lineage, descent"(fromπατήρ patēr,"father") and ἄρχω (arkhō),"I rule".

If you utilize the American English Language (I am guessing this is so) you are choosing to interact with life through the structure that gives meaning to its constituent parts through a mechanism derived of numerical and phonetical amalgamation.
J.R.R. Tolkien happened to be the foremost linguist of his time and created languages of his own that were built on top of other "rooted" languages. The interesting part is that his creations were not random but carried meaning as they derived their formats based in the numerically appropriate languages they branched from.
Language definitely has the ability to be unique to the individual, but I am very careful to accept someone's indication that they are free from the structure of the language they were born into. This would be a herculean task. It would mean stripping the very basic sound to symbol coding that was taught to you from inception and used by you for many years. Specifics regarding language produces a dynamic of expression that surpasses the majority of the populations capacity to uphold based on lack of education, will, or interest.

Foundation of my statement is
Language=Structure of Reality

Because Language today is not appeared only today, it has historical and thus a deep genetic/genealogic relationship to its ancestors. History has been abused for sure, but language can be traced decently through observation of its structure and in common roots. This leads (as far as I'm aware) to the Mediterranean for the basic impressions that now mark Germanic forms, including English. When we go back to the Mediterranean, we see the numbers in Phoenicia where the relation is very close to the Hebrew and Sanskrit Languages. They are very particularly related in their format and structure and can all be viewed as roots of modern language. I'm not sure about Chinese or others that are quite dissimilar, but it doesn't really matter. For any language, just like any system of any kind, a process of organic growth through long timelines will create dynamic relationships and the lines will get crossed...
But, we can be assured that the basic nature of the language in common is one that allows us to share intellectually our perceptions of life on common ground. Without that common ground, all is lost in the realm of intellectual communication.

Yes there are infinite ways of communing, but it would be difficult for most to learn other forms without complete destruction of the current model.

I would ask that we forego the debate of terminology by coming to complete understanding of the terms in their origination and historical implication. If the definition is in contention, then we aught to first be a witness to its state prior to our involvement in it, then to fully comprehend where to take the next step.

My understanding through observation and investigation is that the word derives from Greek, as placed above. Because the Greek form of language is heavily reliant on Logic as defined by the people, it put terms into very strict postures that probably worked more like that of the languages mentioned above before adoption... Phoenician, Hebrew, and Sanskrit. In particular, likely developing more directly from Phoenician.

What a great thing this is!
I Love language, and I also Love its evolution.
And Finally I Love the Freedom that we may be witness to in ourselves when we relinquish the hold on life by the definitions that no longer serve us. I choose to see Patriarchy as a perfectly acceptable form of relations between people who agree upon it. Who am I to say they are right or wrong, especially if they are choosing and benefiting from it?

I am Irish as well. It is not the fault of anyone other than the insulted that they feel so. I cannot help it that if I say the Earth is round, someone will have chosen to identify with a flat Earth and feel hurt by a comment made by someone observing a curve...
Also, I did not define Paddy in any way. I allowed for a previously created idiom that so happened to involve that word. I don't think you were insulted by my definition, but rather by my use.
My use was innocent and not intended to cause harm. So, in understanding this, no harm should be caused. If you still feel some indignation, I suggest meditation as a practice for removing unnecessary things from ones consciousness.
I have been having an issue myself over some difficult to extract energies, though I see how they have manifested, because of an unwillingness to shift to new ways, they are perpetuating. It is a unfortunate thing to say the least. I will to grow out and away from these things with a speed unknown.

I am sated.

Ὑπίαινε! & ἴθι χαίρων!

Σε φιλῶ
Blessings Family!