I'm guessing that the greek people are being lied about what monarchy means. A constitutional monarchy is by far better than any republic, a more stable system, from any point of view.
I find it odd that the greek Constitution speaks in an article that the form of government cannot be changed, it's just like in the romanian Constitution. Only that here in Romania we had more than 40 years of communism, this could be an explanation. But Greece had been protected by the britains after the war, in the famous deal between the great powers (10% soviet influence in Greece, 90% in Romania). It seems that being saved from the communism didn't save them from all the monarchy-fobia of the corrupt politicians.
According to my oppinion, the republic is the "heaven of the politicians", especially the most corrupt of them.
I wonder though, what would happen if in a popular, national referendum, the majority of people would vote for the change of the form of government, fot the restoration of the monarchy? How can a constitutional article stand against the will of the people?