Overally I agree with your post, except for this part:
There is no doubt that Anatolian Turks are heavily mixed with native Anatolian populations (who were mostly local Greeks) and resemble them. When the Greek historian Nicephorus Gregoras passed through Bithynia (Northwest Anatolia) en route to Niceaea in the middle of the 14th century, just one generation after the conquest of Niceaea by Turks, he observed that the population consisted of Turks, mixovarvaroi (meaning mixed barbarians, offspring of mixed Turkish and Greek marriages), and Greeks. But Turks aren't really "ridiculously closer to Greeks and Armenians than to Turkmens". The genetic link between Anatolian Turks and Central Asian Turkmens is still clear.
Take a look at this autosomal DNA chart (comparison of Armenians, Greeks, Turks, Turkmens and Uzbeks)
Too much off-topic but one last thing: Using Eastern Skin for Turks is reasonable since there aren't many options you can use.
But I don't know why you use Russian skin for Armenians, they aren't Slavic, they resemble their Kurdish and Iranian neighbours more than anything.