The Antioch Patriarchy is the Arabic-language Orthodox Church. Never really understood the difference, I think the lack of "
the Arab state" rends the nominal Orthodox practice of a national language-dominant church rather null. It is interesting though that Arabic-speaking Christians have two patriarchates to chose from. Historically, Orthodox Arabs were founders and militants of Arab Nationalism, unlike, say, Maronites

. Perhaps more successful Arab nationalism could lead to this, along with a unification or merger of Antioch and Jerusalem patriarchates?
Or perhaps because of the historical elite around the time of Jesus, the Orthodox church globally sees it fitting to keep a Greek speaking clerical elite in the special patriarchate of Jerusalem. If that is the case, maybe in a similar 20th century Arab Nationalist timeline, the administration of the Jerusalem Patriarchate remains Greek, but the Mass and services switch to Arabic.