It's a big jump from "having the authority" to "getting it right". Ping back to your excellent 2008 thread:
Protestants have reacted strongly against the doctrine of apostolic succession. They have done so in a number of ways, historical and theological. One of these ways is by affirming the apostolicity of the church. Apostolicity may be defined as receiving and obeying apostolic doctrine as it is set forth in the New Testament. In matters of doctrine and life, Protestants permit no ultimate appeal to traditions that are distinct from canonical Scripture........Even if it were historically provable that there was an unbroken succession of bishops from the first century to the present day Roman Catholic bishops (and it is not), Protestants would still demur to claims of Roman authority based upon apostolic succession. It is the apostolicity of the church that counts. And it is precisely by the standard of apostolicity that the Roman Catholic Church is measured and found wanting.
-- from the thread Apostolic Succession and the Roman Catholic Church
Before the Reformation, every one in the West was without exception, apart from the Jews, a Catholic Christian. It was the abuses, scandals and cupidity of the Catholic Church that led to Christians in Northern Europe making the final break with Rome.
These were corrected in the Counter-Reformation led by Catholic reformers. They helped to ensure the Church’s survival in the Latin World in which it recovered from its worst crisis and integrated the faithful to its bosom. There is only one true Church and Catholics and Protestants disagree on who commands the tradition passed on from early antiquity. No Christian though, regardless of whether or not he pays allegiance to Rome, disputes the essence of the Christian faith as belief in Christ and in the succession of the Apostles.