Because you wanted me to deal with the OP, I will. Frankly, I consider it lightweight and full of errors, but I'll address them one at a time.
Only...it's undeniable that this ^ has NOT been the consequence of this "authority." It has not produced unity. It has produced innumerable splits--what you'd call 'disunity.'
The EO in 1054 and the OO before that. The Cathars, Waldensians, and others during the Middle Ages. The Protestants in the 1500s. The Old Catholics in the late 1800. The Society of St. Pius X and the Society of St. Pius V among others in the 20th century. And that's just skimming the surface of the splits experienced by the Roman Catholic Church.
UNITY? This is a record of almost non-stop and major disunity...and that's to say nothing of the disunity that is internal.
So much for that theory.
No, we've been over this before and you're still wrong. Catholic "authority" meant the prohibition against individual Bible study. Protestantism argued that the Bible should be
available to everyone and that everyone has a right to follow his conscience. That should not be miscast as an invitation to make one's one doctrines, for that is plainly untrue, as anyone with any knowledge of the subject knows. If you are not familiar with all the confessions, statements of faith, and the like that govern Protestant belief and practice, we'll try to help you.
OK. I explained in the first paragraph how disagreement has plagued the Catholic Church throughout its history...so where is that Unity you want us to think exists?