As you say, it doesn't just mean lesbians - if people are saying yes, all biological parents should be on there get all those single mums having a one night stand to list who they've slept with recently.
Of course you fucking wouldn't. Or would you?!
It affects us all, I'm.baffled to how some seem willing to give up rights for others when some of those same people would be happy to give up yours in a heartbeat.
So if a child is conceived in a one night stand, it has no right to have a relationship with the father? Why, because it would tie the mother to some kind of interaction with him, and she might not like that?
In any case, the father in this scenario can request to be added to the bc, and the mother does not have a right to just refuse because that's what she prefers, you are quite mistaken that such a choice is a woman's right.
The option to not name the father exists mainly because some women don't know. And while there is some capacity today to investigate, until quite recently in those scenarios it was almost impossible to discover who the father was. It's pragmatic, not a principle.