Byzantine rite is offshot of Antiochene. So is Byzantine music. Also, not all of Antiochene Christians were Syriacs... Do you think St. John Chrysostom was Syriac? (He brought Antiochene rite in Constantinople). Do you think John Damascene who lived in Damascus, and latter in Palestine was Constantinoplitan intruder (he wrote Octoehos), or maybe Cosmas of Mayum? Byzantine Rite got final shape in Palestine in Ancient Lavra.