This is just another false propaganda of the recent years. So trying to assimilate Turkish people from their roots mentally, culturally with these stories. Its logically impossible for us to be closer another race than Turkic race because, we have migrated to Anatolia in large numbers and the people living here (Greeks, Armenians etc) were much less than Turkish population. So for example if we consider 3 Turks for 1 Greek or 2x1, in this case, even if Turkic and non-Turkic people married each other, next generation kids will have fifty fifty chromosomes and therefore genes. So in this case, kids will have %75 Turkic genes and %25 Greek genes in third generation, each next generation they will have less Greek genes. As I said this is the situation if Turks only marry with non-Turks. Its also another fact that Turks would never marry with non-Turks (especially in these ancient times) and will avoid to disrupt original family structure.
I have asked you for generally accepted sources, do you have any ? I dont think that Armenian Weekly or Wikipedia (which is banned in Turkiye) is considered as "generally accepted sources". By the way I have cousins half Kurdish and half Turkish and they will probably genetically be assimilated in Turkic genes in time.