The Turks are the Neighbours. The Iranians are… the Neighbours’ Neighbour. Greeks have not have much direct contact with Iranians since the Turks moved in between the Persians and the Byzantines. They are aware of Iranians, but not closely. For all that we had well over a millennium of cultural contact with the Persians, that ended a millennium ago.
In fact, I’ve been pleasantly surprised at the cultural commonalities I’ve discovered with Iranians, both in my twenties when I had Iranian fellow linguistics students, and latterly on Quora. (The emphasis is on: surprise.)