That Greeks play no significant role though can be shown if going for more genealogically relevant segments larger than 8 cM again and creating a network map for the core Thracian samples available in the old data base:
It is kind of amazing that Greek being completely bypassed in this mode with the available data points.
Just compare the Vekerzug-Chotin matches and La Tene era Matching from South Western Slovakia or Czech Unetice, Bell Beaker and La Tene era samples with the Greek zone.
To prove how big of a deal that is, just do the comparison with Mycenaean Greeks, with the same settings (again 8 cM minimum):
They have a bit of old Carpathian admixture too (Bodrogkeresztur, Maros - just look at Mygdalia for example, they surely got a bit of BSK admixture too), but not just the South Thracians being left out.
No South Thracians
No Mezocsat
No Vekerzug
No La Tene Hungary
No Glinoe/Thraco-Scythian
But they have significant matching with the Illyrians! Again, look at Mygdalia for example.
Also interesting: The Mycenaean Greeks have contacts to Unetice and Knoviz too in Czechia, but not to Czech Bell Beakers. They generally have much less of a Bell Beaker affinity than the Thracians.
That the Thracians have so many matches in Hungary is not by chance and because Hungary being better tested, because you see, the Mycenaean Greeks have only one Hungarian match, which is from Bodrogkeresztur and possibly comes through their BSK/Vucedol/Illyrian connections. So basically they have no relevant matching in Hungary at all. They also have none in Slovakia, whereas the Thracians have a big string there to Vekerzug and La Tene era samples.
There were people which claimed that the Illyrian admixture caused the Balkan-cluster in Vekerzug - uniparentals and individual IBD say no, but the network of the Southern Illyrians makes it even more obvious:
The "North Illyrian" network with Croatian samples is a total mess, because they are all over the place, but they still don't get the Thracian-related sites - they only get one (!) Vekerzug sample. The biggest fun however: They match with one Füzesabony also, but not Mezocsat.
WIth the IBD matching and network maps one can in a second completely refute such claims that the Balkan-shift in Vekerzug comes primarily from the Illyrians. South is completely out, but even the more North Western groups have barely any significant overlap - most importantly, less than the Thracians do!