Alternative explanation for the Genesis allusion: women do not need to marry a circumcised man to be fully in Christ

The connection to Genesis is about covenant participation: in Judaism, a woman's full participation in the covenant came through marrying a circumcised man and raising children in that environment. Only men were circumcised; women's connection was through their husbands. In Galatians, judaizers demanded circumcision and law-keeping; women would have needed to marry such men. 'No male and female' means women are fully in Christ without male mediation. It is about inclusion of different peoples into one people, not obliteration of differences.