You are not spelling out “facts.” You are spelling out your view. No more.
This straw man cliche is also doesn’t wash so please stop trying to deflect and compensate for your own intransigence with that..
I have repeatedly said, if you believe, in the context of your life, that taking your husband’s name would be a more patriarchal act than keeping your own name, then that is absolutely fine.
If you want to think that birth names aren’t really patriarchal because if the odd female lineage her and there, well that’s up to you too.
But it’s not a fact. Far far from it. It’s your perspective.
Can you conceive that people make decisions in different contexts?
The “facts” as you declare them to be are not a bloody dogma. They are the manifestation of infinite personal circumstances of individual women who may see things differently to you.
That’s reality.
What would you say to a woman who had been sexually abused by her father? Does she have to keep his name to be feminist? Could you try and understand, for one second, how in that context, taking her husbands name may seem like the more feminist opinion? Would you tell her she was wrong too, because of your “facts.”
So no, deciding to keep your birth name on marriage is not always “less patriarchal than keeping it.”
You can “spell it out” as much as you like, but you will never make any woman believe what they don’t feel to be true. And those women are as much in “reality” as you.