Lets start off with the fact that I am personally very traditionally orientated with many social aspects.
Some things should be "just so", that is the way of the world and universe and never tampered with (well not in my world)
But!
In this world there is only one thing you can be sure of, a child comes from it's mothers body. If you want to query it's parentage, the mother is never the parent in question. The mother is (usually) the person tasked with upbringing the child.
In the west, why have we not reverted to a matriarchal family name as standard?
disclaimer< I know I'm going to get posts from adoptees, steps, fostered and whole caboodle of funky people who merged their surname to create a new family name.
Matriarchal line, it can't be altered whereas patriarchal can be cuckolded.