Why is Eve’s punishment at Gen 3:16 appropriate?

As she abused her prerogatives as Adam’s “help meet,” she is punished in relation to her function in the family: her roles as wife and mother of children. Since she was treacherous to Adam, he would thereafter be her master, and not just a partner. The New Covenant, especially in several comments on marriage by Paul, has us restore a better state of affairs, of mutual service.