These are two very different structures. They are so different that the same content told in those ways have profoundly different meanings.
Structure is something many writers take for granted. Patriarchal has been taken for granted as the only way to spin a yarn. It is not.
There is the Matriarchal and its advantages are numerous, but it requires a more liberated and courageous mindset to allow an explosion of self-trust and unfettered creativity.
The Patriarchal is a confine. There is a single point of view. Every character, fact, and turn of event ties in perfectly in the story. It is a highly-processed way of telling a story, and for readers, it is akin to adult colouring books and paint by numbers: someone else does the thinking and you are given no room to test your own theories and ideas.
For the daring who recoil at the notion of someone else wearing the thinking cap, they would thrive with the Matriarchal.
The Patriarchal is a cage, but the Matriarchal is the wild. For those who prefer creating their own art and experimentation, the structure is preferable. Not everything ties in neatly as characters and threads intersect with other stories. It is the way a journalist gathers and hunts informed for a story. Life is not linear where everything fits in. Stories can be read multiple ways and can be reread to find new ideas.
For those who do not wish to trust their own instincts, the passivity of the Patriarchal appeals, but is not the only way to construct a story. For the active, there is the Matriarchal, a style and system where there are numerous literary illusions, interpretations, and meanings where there are multiple ideas and protagonists all contributing to the story.
For those who tire of the shackles and confines of the Patriarchal, the Matriarchal hones our own naturals emotions and ideas out in the wild where authors and readers are free to explore the natural beauty and mystery of the human psyche.