I want to know the answer to the following question:
What do Westerners believe it means to belong to the Greek heritage ?
All the background I'm provided with is that "Byzantine Greeks called themselves Romioi and considered themselves the political heirs of Rome, but at least by the 12th century a growing number of those educated, deemed themselves the heirs of ancient Greece as well, although for most of the Greek speakers, "Hellene" still meant pagan.". Is that enough to answer the question?
Answer: no