Nice try. What you dont tell the people is that not in one of those verses does the word used refer to an organization. Each and every one refers to a called out assembly. An assembly of those who have accepted Jesus as their savior.
The Leader of a Church or The Churches. Because of Geography it is really a Group of Churches meaning One Church (umbrella) as a Whole. Notice the City Churches. The Epistles/Letters Are addressed to Cities.
The New Testament: The Epistle of Paul to the Romans
The New Testament: The First Epistle of Paul to the Corinthians
The New Testament: The Second Epistle of Paul to the Corinthians
The New Testament: The Epistle of Paul to the Galatians
The New Testament: The Epistle of Paul to the Ephesians
The New Testament: The Epistle of Paul to the Philippians
The New Testament: The Epistle of Paul to the Colossians
The New Testament: The First Epistle of Paul to the Thessalonians
The New Testament: The Second Epistle of Paul to the Thessalonians
The New Testament: The First Epistle of Paul to Timothy
The New Testament: The Second Epistle of Paul to Timothy
The New Testament: The Epistle of Paul to Titus
The New Testament: The Epistle of Paul to Philemon
The New Testament: The Epistle to the Hebrews
The New Testament: The Epistle of James
The New Testament: The First Epistle of Peter
The New Testament: The Second Epistle of Peter
The New Testament: The First Epistle of John
The New Testament: The Second Epistle of John
The New Testament: The Third Epistle of John
The New Testament: The Epistle of Jude
The New Testament: The Book of Revelation
Also Notice the end of the Bible.
REVELATION 22:
16 I, Jesus, have sent my angel to give you[a] this testimony FOR THE CHURCHES. I am the Root and the Offspring of David, and the bright Morning Star.
17 The Spirit and the bride say, Come! And let the one who hears say, Come! Let the one who is thirsty come; and let the one who wishes take the free gift of the water of life.
TO GIVE YOU[A] THIS TESTIMONY FOR THE CHURCHES.
It is Through The Churches.