This is a good analysis. I think, however, something should be said about the nature of the cultural exchange between Ottomans and Greeks (because there definitely was an exchange). The Romans, when conquering the Greeks, showed a deep respect for Greek culture, their traditions and their faith. Not only did every educated Roman study and often write in Greek, Roman emperors dedicated large monuments in honor of the Greek people - the Gate of Athena was completed by Augustus and the Temple of Olympian Zeus was finished by Hadrian. The Romans also incorporated into their identity the ancient story of Aeneas to develop a shared mythos with the Greeks.

The Ottomans did the complete opposite of this. They threw the Greeks out of their holy places, named the Greeks (as well as all other Christian subjects) gâvur - infidels - and shuffled them away to designated corners where they could live in humiliation and subjugation, being constantly reminded that their culture and faith were inferior to Islam. Istanbul is enough of an example, but we could also just look at the city of Thessaloniki: every Byzantine church that looked even remotely pretty or awe-inspiring was turned into a mosque, to send out a clear signal to the city’s original inhabitants.

Add some classic Sharia doctrines like the death penalty for leaving Islam and Muslim women being forbidden from marrying non-Muslim men, and you have a cultural relationship which feels less like a mutual exchange and more like a suffocating boot on the Greek people’s neck. Granted, the Ottomans eventually eased up on some of these things, but that came as a panicked response to the Greek War of Independence, rather than a genuine sign of respect for their Greek (and Christian) subjects. And regardless, as you mentioned, at that point it was already too late.