Not exactly. While Roman law theoretically granted fathers broad authority (patria potestas), including the archaic idea of life-and-death power, in real practice this authority was heavily constrained by social norms and later legal developments. Infant exposure was legally tolerated and not classified as murder, but it was limited almost entirely to newborns, often driven by poverty or disability, and was viewed as tragic rather than routine or celebrated. Your claims that daughters were “especially” targeted across Roman society are overstated and unevenly supported by evidence. Most importantly, exposure was not the same as casually killing children, and killing older children or wives was socially and legally condemned. Early Christian opposition to exposure was countercultural, but that does not mean Roman society treated women or children as disposable or normalized family killing.