Precisely why we reject this model, and it is not sola scriptura, as SS is the practice of the (Lutheran part of) Church.
Such as the Magisterium?

Simply, as the early Church did, bring it to a council. But to have a truly ecumenical council, it would take all the patriarchates.
True, as the conflicts we have seen since at least 1054.
My point is that whether on uses Scripture and Tradition as a model of hermeunetics, or scripture aided by Tradition, we must put our faith in the Church, not in ourselves. Then pray for the guidance of the Holy Spirit.,
The clash, as it were, of the elites in this case, were of one body and gave no arguement as to the jurisdictional differences that might have given rise to arguements about one church verses another church on any issue, as does the Protestant denominations do today. There never was a group, in lets say Alexandria, Rome, Constantinople, Nicea, or anywhere else claiming personal authority for themselves as do the Protestants.
They all gave allegiance to the final decision of the early councils no matter where they were. Contrast this with any decision made by any protestant confession trying to draw others into a sort of agreement under the authority of the panel as it were, and you will have the only uniformity that they are capable of, and that is dessention!
The Protestants reflect thier beginnings. And those beginnings were a violent fight over personal as opposed to authoritative reformist views over what must be held, since that they had no papal authority.
We know the history, we also know the words of Our Lord who said that “He who does not gather with me scattereth.”
His blessing also with you.
Jon