I fully concur with Salmoneus here. This highlights the difficulties of obtaining linguistic information from genetic evidence. I am not a geneticist, so I may have gotten those things wrong, but apparently, the Yamnaya people formed from the mixture of a population native to Eastern Europe (the "Eastern European Hunter-Gatherers", EHG) and one originating south of the Caucasus (the "Caucasian Hunter-Gatherers", CHG). The EHG component was closely related to the likely speakers of Proto-Uralic, and in turn was a mixture of native Europeans ("Western European Hunter-Gatherers", WHG) with a Siberian group (the "Ancient North Eurasians", ANE).
There are two different scenarios one can attempt to reconstruct here:
Either PIE was a language spoken by the EHG lineage influenced by that of the CHG lineage contributing to the Yamnaya.
Or PIE was a language spoken by the CHG lineage influenced by that of the EHG lineage contributing to the Yamnaya.
The scientists whose work we are discussing here apparently support the latter scenario, assuming that Anatolian was the language of an unmixed CHG lineage. But it could just as easily have been the former scenario - and the morphological resemblances between IE and Uralic suggest that this is the right answer (the much-discussed
lexical resemblances look rather like loanwords from IE into Uralic, though).
Also, I don't think that the divergence of Anatolian and (as I call it) Northern IE was as early as 8,100 years ago. There are at least two reasons to assume that it was not very long before the breakup of Northern IE: 1. The phonologies of "pre-Anatolian" and "post-Anatolian" PIE were very similar, as the phonology of "handbook PIE" accounts for Anatolian reasonably well - it seems as if only the phonetic values of some of the phonemes may have changed, but no major restructuring of the phonology had happened. 2. Anatolian shares terminology pertaining to animal traction (e.g.
*yugom 'yoke') with Northern IE, so their common ancestor was spoken by a society that used animal traction, at least for ploughs or sleighs if not wagons, which means that this common ancestor was spoken not long before 4000 BC.
Nobody had animals draw anything in 6100 BC!
I don't know much about the archaeogenetics of Anatolia, but according to
this blog post, the Hittites and other Anatolian IE speakers entered Anatolia only in the Bronze Age between 3000 and 2000 BC - and that probably from the west, as the area east of Anatolia was full of non-IE languages, and the Caucasus of course still is so today.