There is controversy about whether there was a matriarchal society in China, so is there controversy about whether there was a paternal society?

matriarchal society was recorded in ancient China. For example, there is a book, which I don't remember. It seems to be Shan Hai Jing. It is recorded that "Hua Xushi was born in Fuxi Nuwa, and Fuxi Nuwa was born in Shaodian".

who is Hua Xushi? Nu Wa and Fuxi's biological mother. Why was Hua Xushi recorded? Explain that Hua Xushi should be the leader of the Chinese tribe to qualify for history.

what does this sentence mean? It should be like this: after Hua Xushi gave birth to Fuxi and Nuwa, he passed the throne to Fuxi and Nuwa, and Fuxi and Nuwa managed the whole Chinese tribe at the same time. Later, Fuxi married Nuwa, and after marriage, she gave birth to Shaodian. (It is not clear whether Shaodian is a man or a woman, but most scholars think it is a woman.) Shaodian grew up and became a helper. (Later generations deified Nu Wa and Fuxi, and became gods who made human beings.)

Another point: when close relatives get married, it is easy to give birth to fools (is Shaodian a fool? Unknown), Hua Xushi should not realize this, so he made a joke. Immortals like Fuxi and Nuwa didn't realize this.

thank you! ! !