You guys really don't have a clue, do you?!?
When I was a university student in Piraeus, out of the 100 students 10 were Cypriots (that had their seats reserved, but that's another issue). Guess how well they interacted with the rest of their class? Wrong, they didn't interact AT ALL. Nobody looked down on them, people tried to be friendly with them. You know what they did? They formed a clique, they wouldn't go near any Greek student and they only spoke to each other in an almost conspirant way. I did't know why they behaved this way, what they were told about Greeks by their family, but they were just RUDE to say the least. I however was able to break the ice with one of them. We became friends, and when the others realized that, they just kicked him out of their clique.
THAT's the impression that Greece Greeks have of you. They don't hate you, they have nothing against you, it's your behaviour that makes others look down on you. Sure, many made fun of their Cypriot accent, but those that did were the same that made fun of Cretan, Macedonian or Rhodian accent too.