I don't understand your point,if one breaks or falls aways they no longer are a part of!
The Lutherns broke/fell away from the Catholic Church they are no longer a part of!
If you are talking about the misuse of the word related sorry!
Today CC has nothing in come not even the name!
In this you speak the truth. However all Protestants are called Christians, all believe in the same God, they recognize each other's baptisms, they recognize the same word of God.
Do you recognize the baptisms of the Reorganized Church or the Fundamentalist Church (Warren Jeffs) or the Church of the Firstborn? They call themselves Mormon and they believe in the Book of Mormon, Pearl of Great Price, and some believe the Doctrine and Covenants with more fervor than the LDS which has stepped away from some of the teachings in the D & C when they became embarrassing.