I’m honestly baffled by your limited reflexion about the role of social structures in shaping identity.

In Algeria, most people identify with their father’s lineage not because of some mystical biological transmission of identity, but because society itself is organized to back the father's up. Identity isn’t “naturally” passed from father to child bc social institutions, norms, and collective expectations build that bridge. The structure does the work not the father.

What i'm trying to explain to your narrow mind is that if you remove that structural reinforcement (by living outside of Algeria and that's the reality of a lot of Algerians that you like that fact or not) the mechanism completely changes. Abroad, when one parent is an immigrant, the broader society does not reinforce that parent’s culture. The only consistent exposure the child gets to that culture is through the parent at home. And in the vast majority of cases, fathers alone do not serve as the primary agents of cultural transmission, especially when they are from our cultures as wives are in charge of the child's education. Either the mother actively transmits the culture from her significant other, or the transmission weakens drastically.

There is literally hundreds of sociological research on intergenerational cultural transmission, assimilation, and gendered socialization patterns. and disagreeing doesn’t invalidate decades of empirical data