Dear brother Matthew,
These are all good definitions. But I would like to explain some nuances to these definitions according to my understanding as an Oriental Catholic.
Being “subject to the authority of the Roman Pontiff” may (actually, most likely) not mean the same to a Roman Catholic as it does to a non-Latin Catholic. We look at the term “Roman Pontiff” and we see ideally not a private person, but a public person who represents the Church with the primary responsibility to protect the Orthodox Faith and to preserve the unity of the Faith. We understand “Roman Pontiff” to be the office instituted by Christ for the upbuilding of the Church. If, according even to St. Robert Bellarmine, a Doctor of the Church, a pope is found to be tearing down the Church, we are obligated to oppose and correct him (through our bishops, of course). Thus, we are “subject to the Roman Pontiff” only insofar as he is fulfilling his office as Christ intended. To be “subject to the authority of the Roman Pontiff” is in effect to be subject to the authority he represents - Sacred Tradition and Christ’s own command for unity, which we expect the holder of that office to protect and uphold. If he is not fulfilling that divinely appointed role, I daresay no one is “subject to the authority of the Roman Pontiff.”
“In communion with the Holy See” is a touchy subject, as it includes the bureacracy of the Curia, which does not always have the best interests of the non-Latin Churches at heart. The problem (IMO) is that bishops who have neither the responsibility, the universal awareness, nor the graces of the office of the papacy are given jobs with those expectations. History has shown that as regards the non-Latin Churches, curial officials have many times been at odds with the papacy. A short time ago, a curial official tried to prevent the transfer of an Eastern bishop to North America, an action that was within the prerogative of the sui juris Church. To make a long story short, the curial official’s actions came to naught (the sui juris Church resisted him, he had no authority to do it in the first place, and rumors had it that the Pope sent him a private remonstrance). There will always be a danger of such things with the Curia. There is only one head bishop of the Church universal, and the Curia seems filled with a multitude of these who don’t know what they’re doing in relation to the non-Latin Churches.
“In communion with the other Catholic Churches” is the most easily acceptable definition to non-Latin Catholics. It is important to point out that the term “Roman” in the first millenium was not a reference to the Church of Rome herself, but to the heritage of the Church universal from Imperial Rome (i.e., the marriage of Church and State). Hence, Constantinople called itself “the New Rome” and even Moscow liked to pretend that it was “the Third Rome.” Many non-Latin Orthodox Catholics even in the second millenium referred to themselves as “Roman” — but, again, it was not in reference to the Church of Rome, but rather to the Roman heritage of the Church universal. So “Roman” in general and Traditional usage does indeed refer to the Church universal. I am not sure when it came to be attached specifically to the Church of Rome. I’ve heard that its specific attachment to the Church of Rome was originally a polemic device used by Anglicans. If true, and this is now its common usage, then non-Latin Catholics are just being true to Tradition by not accepting the designation “Roman Catholics.”
Blessings,
Marduk