Five lines of rubish.
I posted several maps and sources and even a Byzantinist (We dont know if he actually is) agreed with me in some Points.
Lol okay, I'm just a ph.d candidate but nevertheless this topic got my attention of course.
I'm also reluctant to overdo here, because it's a game and balance issues are more important than fabulous accuracy. But if somebody stresses accuracy for 15th cent., I'm he one who warns because our data is not precise at all.
The biggest problem is the one of definition. What makes somebody a Greek in that period? first: his own consciousness? There was no Greek, but rather a complex Roman identity as far as we can reconstruct on the basis of the intelligentsia. Second: his language? Greek lost favor very soon, already in the 16th-17th (for those Byzantines who stayed and those were a minority in Asia minor of course). That was so thorough that in the 19th cent. they had to be taught from the very basics by Greeks from the mainland. Third, religion? This was kept longest and in some parts till the 1920s. The British decided that every Orthodox is a Greek although those were not able to understand Greek anymore at that point.
Furthermore, in many areas there was obviously no majority, but three or even four even minorities. Its just painful to decide who is the one who has the demographic rights on those EU-fantasy provinces.
That being said, for vanilla Erzerum should rather being Armenian; Adana as well. Edirne Greek. But Izmir province is not Symrna alone. Smyrna was overwhelmingly Greek in the 14th century (and the island like Chios even 99%), but the province not. In the countryside there were not many Byzantines left. We know the situation there quite well because of the crusade of 1344 and the Catalan company in round 1309, and due to the affair of Matthew of Ephesos (we have sources, so to say).
In the case of Kastamonu/Sinop I just can say very surely that there was pretty no Greek-speaking population left in the interior in the 1400s. Only at the coast there were some in Inebolu, Sinop, Amasra of course, but these "cities" were little, not even 10k inhabitants. Kastamonu was superior and had almost no Greeks (ca. 1% under Süleyman I where we have the first tax register), and just some more Armenians.
I just can recommend meiou, where the situation is represented pretty good. There is also taken into account that there was a difference between the more nomadic and later Turkmenic intruders (after 1240) 'yürük' and the more civilized and settled Turks 'tadji' who also lived in cities. There was much conflict between them before the Ottomans took control in around 1430-50.