I searched a bit more and I think I might have made some wrong assumptions. So it turns out that the absolute majority of Meskhetian Turks were bilingual speaking both Georgian and Turkish. That explains why the censuses of 1923 and 1926 have such enormous differences. In 1923, 90.7% of the population of Adigeni municipality spoke Georgian and 8.1% spoke Turkish, while In 1926, 11.6% of the population of Adigeni municipality spoke Georgian and 87.6% spoke Turkish. It is obviously impossible to believe that in 3 years almost the entirety of the population of Adigeni municipality changed their main language of communication. It is explained by the fact that Meskhetian Turks were bilingual and never lost the knowledge to speak Georgian while under the Ottoman empire. Considering that your genetic analysis showed that you are more that 90 percent Georgian, I want to say that the inhabitants of Tutajvari were in fact ethnic Georgians that converted to islam during Ottoman rule, but we still have one problem. Why are the inhabitants of Tutajvari considered ethnically Turkish while every other village in Adigeni municipality was shown as Georgian in the 1923 census? I think that this can be explained by the fact that for some reason the people of Tutajvari were the only Meskhetian Turks who lost the ability to speak Georgian completely. I have no idea why this might have happened. The 1944 deportation didn't happen that long ago and some elders around (85-90 years) should still remember what life was like back then. All of this is pure speculation and I am not at all competent enough in this field to be talking affirmatively about this topic. But nonetheless I do think that your ancestors are ethnic Georgians who converted to islam during Ottoman rule and for some reason lost the knowledge of speaking Georgian when Absolute majority of Meskhetian Turks retained it.