But how significant did the the male father role used to be among hunter-gatherers for a good upbringing of a child? If that task was for example shared between the group members (which I think I’ve read before it was) then it’s questionable whether there would be significant differences in knowing one’s genetic father or not. One hint that this might have been the default mode among hunter-gatherers is that monogamy is a minority marriage type among human cultures today 1 (meaning if polygamy was prevalent, it would have been difficult to ensure that all partners of an alpha male would remain faithful). I also think I’ve read that in many ingenious people, women are readily shared among the alpha males. Besides that, it seems that most things that have to do with reproduction considerations seem to be either on the physical attraction level or on a very high cognitive level (Are there enough resources for the upbringing? Is the the mother’s environment healthy?). Predetermined high-level stuff is memetically encoded rather than genetically (or it is just common sense our cognitive abilities enable us to have).

Edited for clarity. Please consider removing the downvote if it makes sense now to you.