Is there any connection between parents that prevents the father from impregnating different women?

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I was just asking myself if I could just place a single man into the barracks that "prepares" all the women to give birth? So I can just use a useless dweller for this while all the productive men are still doing what they are good in?
Or will the women just block that guy as he has allready a child with... ?
Had no chance yet to check it by my self without getting into managment trouble.
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Parental Alienation | Coping with the nightmare
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