The case doesn't help Cruz, unless a person uses intellectual dishonesty to twist the case.
The case does have some bearing on the question of NBC status for native-born persons, as well as on just plain citizen status for native-born people.
I wasn’t the one who brought up Minor v Happersett.
But again, it neither hurts nor helps him. It simply doesn’t provide answers on certain questions. The woman involved in Minor v Happersett had two American citizen parents, born on the soil, apparently, so the question wasn’t gone into any further.