1Cr 11:4 Every man who has {something} on his head while praying or prophesying disgraces his head.
Here's a description of Syriac Orthodox vestments that include head coverings for the priest: http://sor.cua.edu/Vestments/
"The priest then puts on the phiro (lit. 'fruit'), a small black cap which the priest must wear during all public prayers. It consists of seven sections which indicate the full priesthood of the celebrant. Bishops including the Patriarch wear it under the Eskimo."
Are Syriac Orthodox priests bringing disgrace upon themselves? After all, they're required to lead prayers with their heads covered...
http://sor.cua.edu/Ecumenism/
The Romans have standing ecumenical agreements with this church.
Further the Syriac Orthodox are an autocephalous church; self governing, and separate. In fact they are not in communion with many Orthodox churches.
They aren't even a result of the same schism.
http://www.answers.com/topic/syriac-orthodox-church
The Syriac Orthodox Church is an autocephalous Oriental Orthodox church based in the Middle East with members spread throughout the world. It is one of the five churches that comprised what is now the One Holy Catholic and Apostolic Church before the Great Schism.