oops! Got annalex and natural law mixed up a bit there.
Yeah, you get a lot of things mixed up and wrong.
There are Catholic Churches in full communion with Rome that keep Eastern, Byzantine liturgy. Roman Catholics are free to worship there, and they are free to come to Latin Catholic liturgy. There is no distinction between them theologically.
On the other hand, there are Eastern Orthodox Churches that keep the same liturgy but they are not in communion with Rome. We have few disagreements with them; for the most part our theologies agree. With them, papacy is a disagreement and there are a few other minor ones. They are however true local apostolic Churches that are good guiding their peopel to salvation just the same.
Our sharp dispute is with the communion of faith that got formed after the so-called Reformation. Those are outright harmful to the salvation of their bamboozled flock.
I was assuming Netmom knew at least that, but judging by your reaction maybe I had to explain it more.