On the one hand, the Greek position is that ancient Macedon roughly corresponds to the territory of the Greek region of Macedonia.
The Macedonian historical narrative has not been constant in treating the history of the ancient Macedon.
For Greece, the key element is winning the argument over the legitimacy of ancient Macedon as a Greek state and not having the name Macedonia used by its northern neighbour.
Greece would be 'left' with the name 'Macedonia', to invoke ancient Macedon.
This element of the dispute pertains to the 'right' to project the ancient Macedon history as being integral part of the ethno-genesis of the Greek and/or the Macedonian nation.