I think it depends on where you visited. If you went to a major city they probably do, but if you visited a smaller location, they probably don't, for reputation? I'm from a small village, and when I go there every summer I refuse to mingle with the men, even though they are hot. It is cause my whole family is from that village and I don't want them to look at me as some whore. It's different if the man approaches you, but most likely the girl won't make it obvious that she is into you, due to her family.
Greeks tend to gossip a lot. If one person sees a girl mingling with a boy, soon the whole village will know.