Maximus

“Interestingly, Dominus Iesus, following the Letter Communionis Notio of 1992, did, in fact, attribute the title “particular churches” to the Local Orthodox Churches. Ocáriz’s explanation of what this attribution means shows even more clearly the divergence that exists between the two views of the Church. He claims that this attribution is based not upon the real, Eucharistic presence of Christ but upon “the real presence of the Petrine Primacy (and of the Episcopal College) in of the ‘one and undivided’ episcopate—a unity that cannot exist without the Bishop of Rome.” Further, he writes:

"Where, on account of apostolic succession, a valid episcopate exists, the Episcopal College with its Head is objectively present as supreme authority ( even if, in fact, that authority is not recognized ). Furthermore, in every valid celebration of the Eucharist, there is an objective reference to the universal communion with the Successor of Peter and with the entire Church, independent of subjective convictions."

As the supreme and final criterion of full ecclesiality the Pope is seen not only to supplant the Eucharistic Presence of the Lord Himself, but to be present as “supreme authority” in the Eucharistic Synaxis of those not in communion with him, even if this is against their will. Whereas, for the Orthodox, the ever-present and existential reality manifested by the Holy Spirit at every Eucharistic gathering is dogmatic truth and a unity in truth freely espoused, for the Latins it is the “objective reference to the universal communion” with the Pope “independent of subjective convictions.”
― Peter Heers, The Ecclesiological Renovation of Vatican II: An Orthodox Examination of Rome's Ecumenical Theology Regarding Baptism and the Church