The hypothesis that the Anatolian languages (Hittite, Luwian, Lycian, Lydian etc.) came into Anatolia from the steppe via the Balkans is looking increasingly dubious imo.
I don't know of a single linguist, or even non-linguist, like Anthony, who doesn't date Anatolian to around 4500-4000 BC. based on many factors, including relative chronology.
There was never any archaeological evidence for any movement from the Balkans to Anatolia around that time; indeed, the movement went in the opposite direction.
Now we discover that there was very little steppe ancestry in the Balkans around that time. (You have to look at the dates and Admixture among other things.)
The argument has been made that perhaps these languages didn't enter Anatolia until long after 4000 BC., when there was some more steppe. Ok, let's look at that scenario.
If the Anatolian speakers weren't in Anatolia, where were they? We have to have a rational alternative. They can't have been on the steppe, because then these languages wouldn't be so archaic; they would exhibit the changes present in late PIE. They couldn't have been in the Balkans either for the same reason. Plus the diversity of the Anatolian languages is in Anatolia, and it took place by 1800 BC. It takes at least 1-2000 years for that kind of diversity to develop. I don't see anything in what we know about how languages develop, or what we know about the Anatolian languages that would lend support to the idea that they weren't in Anatolia by 4000 BC.
Now, one could say that maybe it was a very small group which moved through the Balkans into Anatolia. However, could a very small group of simple herders, in a migration too small to leave any archaeological trace, have spawned so many Indo-European speakers? It's starting to seem like special pleading.
The other part of the genetics piece of the puzzle is that steppe has to show up in Anatolia at an appropriate time.
As Hittite is attested in actual documents in the 19th century BC, any steppe found in the Balkans or Anatolia after that time isn't probative of anything. The authors of the paper state they find neither WHG nor EHG in their Bronze Age Anatolian samples. Now that's a problem because you can't have steppe without them. It's true that Hittites burned their dead. However, they weren't the only Anatolian language speakers. There are the Luwians, for example. Does anyone know if any of the samples come from any of the Indo-European speaking areas?
I find it hard to believe that the Reich Lab, given the thousands of samples they have, and given the Lazaridis West Asian paper that is soon to come out, is deliberately steering us in the wrong direction.
I used to think that the Anatolian languages could have come south from the steppe through the Caucasus, but if they find no steppe in any Indo-European speaking areas at the proper time, what then?
https://en.wikipedia.org/wiki/Anatolian_languages
Here's a direct link to the map below so it's larger.