Where I disagree is that Lutherans would say “All doctrines should be corrected by Scripture” - we acknowledge Tradition, teaching Authority and other sources. We only demand that they are compatible with scripture.
The Catholic Church also says that all [possible] doctrines should be corrected
by Scripture – But this is said before a proposed doctrine is actually declared.
We are so caught up by instant information in our century, that we ignore the fact that information regarding a Catholic doctrine was more on the order of years and sometimes centuries. Many doctrines were declared when there was internal debate over the explicit meanings of Divine 'Revelation. This meant that both sides had to be investigated in the light of Scripture, Tradition, previous doctrines, and local teachings. This also meant that a new doctrine had to be absolutely “compatible” with Scripture.
As a high school student, I loved the Reformation period because our teacher followed each of the “reformers” as they spread out geographically. As a granny, the love remains, but my memory is lost. Back then, I could understand the battles over doctrine, within and outside the Catholic Church. Today, as I see citations from the Council of Trent, my thought is that these doctrines had to be guided by the Holy Spirit.
As we learn the terminology and semantics of other Christian Faiths, we would probably find that our intentions are similar as we all seek eternal love with our Creator. Even though our intentions are similar, when it comes to doctrines, especially those involving the Sacraments, we find that our decisions regarding Scripture based doctrines are different.