The churches of the Persian empire never accepted the condemnation of Nestorius. Lying outside Roman territory and under a rival power, they were not bound by an imperial confirmation and had reason not to appear to be. The Church of the East honours Nestorius among its teachers, uses a Christological vocabulary of two natures and two hypostases in one person, and has been called Nestorian by outsiders for fifteen centuries.
The label is one this atlas avoids as a name for the church, and the reason is not politeness. Modern study of the actual writings, including a work of Nestorius recovered in Syriac in the twentieth century, has substantially complicated the picture of what he taught, and the Christology of the Church of the East developed on its own lines rather than as an elaboration of his. Members of that church do not use the term of themselves.
The point is more general and it applies across this atlas. Councils name their opponents, and the names stick to communities that had no part in choosing them. Monophysite, Nestorian and heretic are all conciliar vocabulary, all describe living churches, and none of them is neutral. A Common Christological Declaration signed in 1994 between the Catholic Church and the Assyrian Church of the East states that both confess the same faith in Christ, which is a substantial judgment on how much of the original quarrel was about words.