Leevo,
Were the OO subforum a place that uh...is alive, I would recommend that you should also ask your question on the OO board, to get our perspective (as we are not allowed to teach here against the EO faith, obviously). Perhaps you still should, if interested, although me and Gxg seem to be the only active members around there as of late (ArmenianJohn is an active OO poster, too, though I haven't seen him on the OO board as much as on other sections lately).
General comment:
I'm not going to tell ArmyMatt that he didn't hear what he heard, but I will say that it would be mighty odd for them to be Nestorian in any fashion, as they also venerate the great and fiercely anti-Nestorian OO saints such as Philoxenos of Mabbug (d. 523, who wrote I think half a dozen works against Nestorius and Barsoma of Nisbis), honoring him as one of their fathers placed alongside St. Ignatius, St. Basil, St. Gregory, St. Kyrillos, St. Discoros, and St. Severus in the hymn "
Orthodukso Viswasam", for instance.
And, yes, they were under the East Syrians for anywhere from about 500 to 1500 years, depending on what you make of the fragmentary evidence from c. 6th century of Syriac inscriptions in India bearing the title
Yoldath Aloho (West Syriac for "Theotokos", a term which the Nestorians obviously abhor), and some clues from sources such as
The History of the Syriac Dioceses, which covers the period of the Coonan Cross Oath and before, that suggest that there was a Syriac Orthodox presence there prior to the aforementioned Oath (1653) by which the majority came into communion with the SOC.