The Catholic Church uses the word "church" in two ways, to mean either: the "local particular church" ("diocese"), that is, the church under its bishop or equivalent; and the "autonomous local church" ("rites") with its own customary liturgies and canon laws, and often, language, such as the Chaldeans, the Melkites, the Maronites, the Armenian Catholic Church, etc.
All the particular Catholic Churches — eastern or western, autonomous (rites) or local (dioceses) — are by definition in full communion with the See of Rome.
So here's my question: do you think these seven churches of Asia were local churches in the sense of dioceses?