What do you mean by "a distraction to worshipping Christ?"
Nestorius was a crypto-antidicomarian, in that he felt that veneration of the Blessed Virgin Mary as was practiced in the Church of Constantinople, and every other church, was wrong, and thus went against the customs established by his illustrious predecessor St. John Chrysostom, who was exiled and later death-marched by Emperor Theodosius II in 404-407 AD after he publicly rebuked the Empress for purchasing a solid gold toilet, when there were desperately poor and starving people in the city and the larger Empire (this was at the same time the Western Empire was in its death throes, and doubtless refugees from territories conquered by invading Gothic, Frankish, Germanic and other tribes as well as people unable to find employment in the collapsing economies of Rome, Neapolis, Carthage, and the surviving provinces that had yet to fall, and of course, those places closest to the Eastern Empire, like Dacia and Thracia, Sicilia and Libya, and the cities of Brundisium, Ravenna and Messina, were migrating into the Empire. St. Chrysostom had been in hot water before for his criticism of Imperial decadence, but apparently, to the warped mind of Theodosius, revealing that Her Imperial Majesty had purchased a commode of solid gold to the congregation at the Cathedral of Hagia Sophia was the last straw. I don’t fully understand why we don’t commemorate St. Chrysostom as a martyr.
His immediate successor was inconsequential, but then came Nestorius, who I personally greatly dislike.
Assyrian Christians say they believe in Christ being one prosopon / personality. For them in Christology, "hypostasis" is the concretization of the abstract "physis." What do you think?
Firstly, without wishing any offense, because its an obscure subject that very people know anything about, and there is also a lot of misinformation, like the website Nestorian.org which is run by a member of the Assyrian Church of the East who is confused by the historic false accusations of Nestorianism on the part of his church into believing it true, and attempting to make a case for Nestorian Christology and a bunch of other things the Assyrian church doesn’t officially believe. Eccentric Assyrian laity are not a new thing - we also have George Lamsa, who against all evidence, insists the Peshitta was written before the Greek New Testament, when in fact it is a fourth century translation. This phenomenon is due to poor catechesis in the decades between the Genocide in 1915 before the tragic assasination of Catholicos Mar Shimun XXI in 1975 and the installation of his successor Mar Dinkha IV, memory eternal, who died a few years ago. For many centuries, the Church of the East, in violation of its own canon law, had a hereditary Patriarchate, and Shimun XXI became Catholicos-Patriarch when he was around 14 years old. He was extremely intelligent, but his policies were divisive; the ancient canon prohibiting the inheritance of benefices and prohibiting a bishop from appointing his successor, was discovered by an Indian bishop in the Church in the 1950s, who was not well received when he told this to Mar Shimun. Then, in the 1960s, a schism occurred, and the Ancient Church of the East was formed, when Mar Shimun unilaterally changed the calendar from the Julian to the Gregorian. Mar Addai II, who is still alive, became Catholicos-Patriarch of the Ancient Church of the East in 1974, and in the 90s, he and Mar Dinkha IV began the process of reunification, which will probably happen within the decade. Mar Dinkha IV was elected by the Holy Synod, which is what the ancient canon law required, and took steps to improve catechesis, training of priests and so on, and so misguided, poorly catechized Assyrians like the fellow who runs Nestorian.org, and George Lamsa will be a thing of the past.
So, that all being said, in a non-critical but purely helpful spirit, I don’t think you have the Assyrian Christology down quite right because you are trying to represent it with Greek words like hypostasis and physis, rather than Syriac words like qnume. Secondly, every Nicene Christian agrees, or should agree, that Christ is one prospon. To say otherwise is beyond Nestorianism, and takes us into semi-Arian or Adoptionist territory. Thirdly, regarding Assyrian Christology, which was developed not by Nestorius but by Mar Babai the Great in the early 6th century, the Congregation of the Doctrine of Faith under the leadership of Ratzinger, the future Pope Benedict XVI, who is a first rate theologian on a par with the Coptic Pope Shenouda, Metropolitan Kallistos Ware, Metropolitan Hilarion Alfeyev, and Archbishop Dr. Rowan Williams, determined that the Christologies of the Assyrian and Ancient factions of the Church of the East, the Oriental Orthodox, and the Chalcedonian churches, were compatible, and Catholics can receive the sacraments in a parish of the Church of the East if they cannot access a Catholic church.
And indeed, while this is also true of the Oriental Orthodox and Eastern Orthodox, in practice, most Orthodox priests, except a few Syriac Orthodox priests according to rumor, will not communicate Roman Catholics, but the Church of the East will.