I said that poorly. Sorry to mislead.
I did not mean to imply that any, much less most, women wouldn’t care which man provided the sperm for their pregnancy.
But rather that whether that individual male was a spouse, a shared spouse, a BF, a FWB, or somebody chosen for studliness with little social connection wouldn’t matter across the context of the group of women. Some members of the group have children, and the group is kid-friendly. How exactly any particular child came to be wouldn’t be a taboo subject, but it also wouldn’t be very important to the group. Most significantly, it wouldn’t be normative within the group.
And yes, I almost made my reply into a fresh thread as you’ve magicked into existence. I should not have hijacked quite that much. Given how much of my posts get written in the edit window, it’s a shame that once a post is first saved it can’t be rehomed into a new thread except by “never minding” your first attempt and creating a fresh post that’s a related OP.