I believe that rben20 was distinguishing between two types of Eastern Catholics based on how they describe themselves. The first is Catholics that celebrate an eastern rite but draw their theology and devotions from Latin Christianity. The second is Catholics that view themselves as “Orthodox in communion with Rome”, and draw their theology and devotions from Eastern Christianity. Both are equally Catholic, but their emphasis is different. As Catholics, both accept the dogmas of the Catholic Church, but may interpret them somewhat differently. This is particularly evident in areas of disagreement between the Catholic and Orthodox Churches, such as the understanding of papal primacy. There appears to be several interpretations of this, which is what I asked for explanation about. In general, from my observations it seems that the “Orthodox In Communion With Rome” Catholics have a more minimalist view of papal primacy, though they still accept that he is the head of the Church and successor of St. Peter. They seem to question some of the authority which the Pope has assumed, particularly since the great schism, and argue the need for a more balanced and conciliar ecclesiology. The “Eastern Rite Catholics”, on the other hand, seem more comfortable with the traditional Latin view of papal primacy which is more maximalist. This is all generalizations of course, and I’m sure there are exceptions on both sides.