It is undeniable that much in Scripture is descriptive rather than prescriptive. The description of divorce among the Hebrews is often cited as evidence for divine permission to divorce, when it is actually just a description of what they did, not a permission thereto. The apostacy of St. Peter is described, but not a lesson for us to follow. So yes it is hypothetically possible that the patriarchy in Scripture is not described but prescribed. The problem with that argument is that patriarchy is literally prescribed, in the New Testament, as well as in the Old. As I wrote just above, "[Christ's] manhood matters to God, just like Adam’s manhood mattered. Humanity was forsaken by a man, and saved by a man. Priest is to the church as a husband is to the wife. The entire household is considered Christian if the man is, because he’s the head of the household. Woman was made in the image of man. Etc. Manhood and womanhood are eschatological categories." Also, patriarchy is required by natural law. Nobody objects when there is patriarchy among the lions, or the gorillas, or apes, or literally the entire hominid species of the natural kingdom.
Christ is to the church as a husband is to a wife, (metaphorically), but a priest is not as Christ is to anything. Priests are not substitutions for Christ, they are his servants. Those who like to see the 'male' priest as Christ celebrating the Eucharist are idolatrous fools, substituting the material for the spiritual and confusing the celebrant with the mystery of Christ, in us and among us. What you say concerning heads of households may be correct but headship is not supported by God regardless of conduct and true faith. A person's salvation is ultimately directly attributable to God, not through any intermediary but Christ alone. If woman was made in the 'image' of man, she was either a poor and inaccurate copy or a distinct improvement. Judging from Adam's reaction I'd go for the improvement option every time. Women and men are defintely different. Vive la difference, as the French say. However the differences do not affect the ability to speak the 'magic' words or to be an acceptable offering to God, authorised by his people to celebrate the eucharist in the role of representative, to offer our gratitude to Him for our salvation, preservation and all the blessings of this life and the next, eschatological categories or not. Let's have done with the superstitious nonsense of imaging and imagining Jesus standing in front or behind the altar presiding over and physically consecrating his own body and blood. Erronious idolatry. .
The discussion on social justice has been moved here: https://forums.anglican.net/threads/is-social-justice-a-valid-concept.4142/