Anatolia when exactly? You keep talking about the Turkification of Anatolia but haven't provided a particular date; as we know, Anatolian Greeks did Turkify in significant numbers but this was a process that went on many centuries and has had Turks present in the region long before the Ottoman Empire crossed over into the Balkans
In 1300 the Byzantines still controlled North-West Anatolia, the Turkification of Anatolia can't be separated from what happened in the Balkans, they happen very close to each other time-wise.
That map is clearly over-estimating the amount of Greeks in Western Anatolia. Either the Ottoman census was completely blind and missed the obvious Greek communities in inland West Anatolia or they didn't exist.
I'm not even saying the Ottoman censuses were completely trustworthy, just that they couldn't be inaccurate in this way given that the Ottoman census was very open to admit Greek majority on various parts of the coastm Adrianople and Aegean islands.
I just gave you evidence. Cretan Greeks. There's a whole long list of subgroups of Greek Muslims on
Wikipedia off my first Google search to show that it isn't a uniquely Cretan phenomenon. Your choosing to ignore the long history of Greek Muslims is your choice, but please don't claim that evidence hasn't been provided.
You can bring up individual communities all you want but it doesn't automatically determine their overall size, you could try and come up with vague estimates for those communities and see if they are really as large as you think, I will try to do that later if I can.
As for the Turkish language not having much in the way of Greek loan words, that seems like moving goalposts.
No, it's actual quantifiable evidence which is miles better than "look there are various small Muslim Greek communities, this proves there was a large stable Greek Muslim community" which is just not solid.
- The OTL decimation of the Balkan Turkish communities outside of Thrace dampening Greek loan words in common usage compared to the more Turkified Anatolia
I thought it was only "parts of Anatolia" that didn't have Greek Muslims, apparently not.
- The usage of common Turkish instead of Ottoman Turkish as the basis of the modern Turkish language that was far more removed from Greek influence
And yet Iranian and Arabic influence is still there as is French and Italian.
- Ottoman Turkish being a court language that glorified the use of Persian and Arabic made it more difficult for Greek loanwords to catch on
I thought Greeks were a prominent part of Ottoman governance and that various Ottoman rulers had recent Greek heritage.
Also this kinda contradicts the argument above, was vulgar Turkish less and more Greek influenced than Ottoman Turkish? You'd think common Turks would be more removed from the Arabic and Iranian influence that was overrepresented in higher culture, common Turks should have met more Greeks than Iranians or Arabs in their life(talking about Western and Pontic Anatolia and Balkans
- The alphabet barrier between the languages
It shouldn't matter for literate Greek Muslims that should have been somewhat versed in either Arabic or Ottoman Turkish and for common illiterate people alphabets don't matter.
Christians using Turk and Muslim as synonyms doesn't equate to all Muslims in the Ottoman Empire being Turks the same way Europeans calling everything Guinea doesn't equate to them all being the same location.
They are people that actually experienced the conversion of their compatriots and if they associated religious change with an ethnic shift there must be a reason and it can't be 19th century nationalism before the 19th century(of course), it doesn't mean that those people changed language, family names and traditions overnight but if they lived in place with Turks then the trajectory of their lives would change incredibly, their descendants will probably marry any local Turks and thus become part of the cosmopolitan dominant culture of the time.
All you've got here for the idea that Muslim Greeks were a small minority is an assumption, I've at least provided examples showing that it's not the case in one Ottoman province, and could probably hunt down more if pushed but I think I've made my point. I don't know why you brought up Christian Turks but that's detracting from the point.
It's a assumption but so is an assumption the idea that there was a large Muslim Greek community compared to Muslim Turks when even when looking at the dozen communities it seem to have been prevalent only in some specific locations, which is why you and the article name specific communities in majority Christian peninsular Greece and Aegean instead of finding larger ones in Western Anatolia.
If the argument is that they're small, isolated communities amidst a bunch of Christians that's even more reason not to swap out their language and not Turkify and the article I linked to Wikipedia has sources demonstrating as much. For example, Morea:
These reasons wouldn't necessarily exist forever, those people already used Ottoman Turkish as a prestige language and if the number of Muslims increase there is less and less of a reason to use Greek over Turkish, there is nothing special going on here, simple local demographics at work.
If that part of Greece stays overwhelmingly Christian, then sure we could see the survival of Muslim Greek speakers but that doesn't meaningfully contradict the "transition state" of Greek Muslims, what I mean by transitory is not that "this lineage of Christian Greeks has to spend exactly X generations as Greek-speaking Muslim before being assimilated ethnically" but rather I'm talking about general areas and what happens there as more and more people become Muslim while having a siezable local Turkish presence, which for the Bulgaria, Macedonia and Thrace was definitely the case since the 15th century.
They identify with Turkey for fairly apparent reasons but their language is Bulgarian. There's a reason they're a distinct group and not simply Turks in Bulgaria(a separate demographic) which a quick glance at the demographics of Bulgaria shows. There are 650,000 Turks in Bulgaria and 131,000 Pomaks. The Bulgarian government identifies them as Bulgarian Muslims in their census, distinct from Turks. Clearly, they can't be synonymous. If I can come up with very blatant counter-arguments, then clearly this point holds zero water. Yet another example of Muslim converts hanging onto their mother tongue. I have no idea what you're trying to imply about what modern evidence says because modern evidence says that this isn't the case at all, and the Bulgarian government thinks the same.
Yes Pomaks exist, I'm not denying that, but the idea that they are/were more than Turkish-speaking Muslims in the past or today is not self-evident. I'd also assume more Turkish-speaking Bulgarians emigrated than Pomaks, considering Black Sea Muslims were mostly Turkish speaking.
Islam in Bulgaria is not comparable to that in Albanian and Bosnia, there was strong Turkish ethnic and linguistic demographic there, but in any case this doesn't really matter when talking about Greeks considering that for Anatolian Greeks the situation is quite different and it's important to remember Anatolia has just as many people as the entirety of the Ottoman Balkans(south of the Danube-Sava) so it's just as relevant as Bulgaria is.
You say that as if the Balkans still aren't a demographic checkerboard everywhere that didn't have expulsions to this day. A long-lived Ottoman Empire that kept hold of its Balkan possessions would have been knee-deep in Ottomanism. It's hard to not imagine continued demographic diversity in any such scenario.
It's still wishful thinking.
Many people will switch to Turkish as literacy and urbanization increase and people migrate to other places and marry each other, this doesn't require any kind of forced assimilation, it's simply what happens when you have mixed country with a dominant language and people mix. This doesn't mean ALL of the Balkans will be Turkish speaking or Muslim but the overall linguistic diversity will decrease population-wise even any given individual community survives(basically you could have a linguistic map of a modern Ottoman Balkans and still see a patchwork of communities but this masks the fact that Rumelian and southern Thracian cities would be dominantly Turkish and would have a bigger share of the population.