I agree that Reformed 'Oriental Orthodox' is technically a more valid label than Reformed 'Eastern Orthodox" Some people do not know the difference between the two. The Oriental Orthodox Churches include the Armenian Orthodox Church, the Coptic (Egyptian) Orthodox Church, the Ethiopian Orthodox Church, the Eritrean Orthodox Church, the Indian (Malankara) Orthodox Church, and the Syriac Orthodox Church. These churches accept the first three ecumenical councils (from Nicea, Constantinople, and Ephesus) as does the Mar Thoma Syrian Church. The Eastern Orthodox Church accepts the first seven ecumenical councils.
I am from the Indian Orthodox Church, so this is my view of the Mar Thoma Syrian Church. Both churches share the same ties from when St. Thomas reached the Malabar coast and preached the Gospel. After that there was a connection with the Church of Persia (established by St. Thomas); hence, the Malankara Church had some sort of 'apostolic union' with the Church of Persia. Moreover, the Orthodox Church and the Mar Thoma Church histories are the same also when the Portuguese subjected the Malankara Church under the Roman Catholic yoke for over 50 years. The restoration of the Orthodox faith to the people of Malankara was led by the Archdeacon Thomas protesting the Portuguese through the Coonen Cross Oath. As a result, a bishop from the Patriarchate of Jerusalem of the Syriac Orthodox Church, Mor Gregorios Abdul Jaleel elevated Archdeacon Thomas to a bishop titled 'Mar Thoma I'. Mor Gregorios brought with him the West Syrian liturgical tradition; the use of this tradition is the foundation of the Orthodox and Mar Thoma Churches. The histories of both churches diverge at the time when Mathews Mar Athanasius became the Malankara Metropolitan. Since he was part of the reformation in Malankara (the eventual Mar Thoma Church) propagated by his uncle Abraham Malpan, there were concerns of the validity of his office. (In reality, Abraham Malpan did not want a separate church, rather a reformed liturgy, but that is a different story). Therefore both the Malankara Orthodox Church and the Mar Thoma Church share some of the same administrative ties from the Malankara Metropolitans.
In terms of faith, the Mar Thoma Church is part of the West Syrian liturgical family which includes the Syriac Orthodox Church, the Jacobite Syrian Church, the Syriac Catholic Church, the Maronite Catholic Church, the Syro-Malankara Catholic Church, the Malankara Orthodox Syrian Church, and the Malabar Independent Syrian Church of Thozhiyoor). The Maronite Catholic Church, for example, uses a Latinized version of the West Syrian rite because of its direct communion with the Roman Catholic Church. This is analogous to the Mar Thoma Syrian Church being an reformed rite of the West Syrian liturgy as a result of her communion with the Anglican Church. Something interesting to point out is that the Mar Thoma Church is in communion with the Malabar Independent Syrian Church of Thozhiyoor (whose rite is identical to that of the Syriac and Malankara Orthodox Churches). The MISC was part of the Malankara Orthodox Church but became independent in the late 18th century due to disagreements concerning the authority of some bishops.