It is worth remembering that the Patriarchates of Alexandria, Antioch and Jerusalem are also in countries which, for centuries now, can hardly be considered majority Christian, let alone majority Orthodox. Yet, these patriarchates retain the same significance as they always have. The "power" of a Patriarchate is not temporal, but spiritual. Whenever a patriarchate assumes temporal power, that's when things go sour (as, sadly, the mediaeval papacy shows us ...)