The problem with the Urnfield phenomenon is that it was a religious movement, so people could change either by being replaced, assimilated, dominated or just converted. In the Balkans however, its fairly clear that cremation was introduced or became more widespread by Northerners which spread during the "transitional period" between the Bronze and the Iron Age from the North.
The next problem concerning the Encrusted pottery groups is, that they have influences from the Channelled Ware and other groups. To me the Channelled Ware horizon comes first, and being primarily associated with E-V13, with Encrusted pottery being one of the main secondary spreaders.
The whole issue is also closely related to the question whether or not Greeks had an appreciable frequency of E-V13 early on, latest with the Dorian migrations. My current position is yes, because of this - like I wrote on Anthrogenica before:
The different Greek groups matter, because we have to expect more impact of the Channelled Ware E-V13 people on North West Greeks, Dorics and those Ionians living close to Thracians:
https://en.wikipedia.org/wiki/Dorian_invasion#/media/File:AncientGreekDialects_(Woodard)_en.svg
Other Ionian and Pontic colonies might have just gotten much less of it. But not nothing, because its present in Anatolian derived Greeks too:
We also included nine E-V13 haplotypes from Anatolian Greeks?Phokaia and Smyrna [20] for a Greek comparison population.
On Cyprus its a newcomer, but mostly from Greeks supposedly:
Although, when using the entire set of Y-chromosome haplogroup frequencies, the composition of Cyprus can be explained by contributions from Anatolia, Balkans, and Levant, the actual Greek contribution stood out for the Cypriot E-V13 (87 %), J2a-M67 (74 %), R1b-M269 (48 %), and G-P15 (17 %) components. Lastly, Levant contributed up to 30 % of the Cypriot R1b-M269 and to a lesser extent regarding the Cypriot J lineages (3?8 %).
The pattern of structural variation in Cyprus points towards a model comprising two stages of expansion: an earlier expansion of G2a-P15, J2a-M67, and R1b-M269 (range, 11,600?13,800 y BP with a slow YSTR mutation rate ω; 3800?4500 BP with a fast ω), subsequently followed later by the expansion of E-V13, I2-M423, and J2b-M12 (slow ω, 4400?6600 y BP; fast ω 1500?4500 y BP) (Table 3). However, times of divergence of these lineages from current Anatolian, Danubian, Greek, and Levantine Y-STRs appeared more recent. Pre-historical divergence was observed for Cypriot G-P15 with Greece (3600 y BP), I2-M423 with Anatolia (4200 y BP) and Levant (9400 y BP) and J2b-M12 with Danube Balkans (3,500 y BP) and Levant (5100 y BP). Divergence of E-V13, J2a-M67, and R1b-M269 would have taken place in modern times (range, 300?2.200 y BP).
E-V13 is common in the Balkans and may mark some of the Greek demographic input to Cyprus from the Late Bronze Age through the Iron Age [79]. Network analysis of 46 E-V13 haplotypes (Additional file 10: Figure S5) shows a discrete clustering of 15 samples suggestive of a sub-haplogroup (encircled with an oval). This cluster is characterized by DYS437 = 15 repeats not seen in the Anatolian Greek population, or in the Provence samples [20]. The remaining 31 samples overlap with the Anatolian Greek E-V13 lineages.
https://investigativegenetics.biomedcentral.com/articles/10.1186/s13323-016-0032-8
So do you really claim that all the Anatolian and Cypriotic lineages too came just with Medieval newcomers from outside the Greek speaking world? Rather not.
I spoke about the introduction of Channelled Ware and iron, but we can also look at the changes in burial practise in the Iron Age to grasp the impact from the North, which I would associate with E-V13 heavy newcomers:
The second important Early Iron Age phenomenon is the expansion of the use of secondary crema-
tion. The chronological development of this practice can be documented is the same way as in the rest
of Greece with a first more prominent reappearance around the 12th?11th centuries BCE, especially in
the north, at cemeteries such as Apsalos ?Verpen?39 and Palio Gynaikokastro.40 These structures recall
those of the western Rhodopes near Nevrokopi41 or those found in the cremation cemeteries attribut-
ed to the so-called transitional period (end of the 12th?11th century BCE) identified further in the north
at cemeteries such as Klučka near Hippodrome of Skopje,42 considered as the heir of the Donja Brnjica
culture, which develops from the middle of the 2nd millennium BCE in the south of Serbia and in Kosovo
and which expands from the south Morava toward the southern Balkans.4
The "transitional period" = the main timing for the first and biggest E-V13 expansion down into the Balkans.
In
Greece, the development and origins of cremation after the collapse of the Mycenaean palaces have
long been debated, with proponents of the Balkan and eastern origins or the role played by northern
Italy.45 Regarding the data, northern Greece seems to be on the crossroads of several traditions, show-
ing that there is not a single answer to this crucial issue
https://hal.archives-ouvertes.fr/hal-02902269/document
This relates directly to the corridor of Channelled Ware related, Early Iron Age expansions down from the Vojvodina and the Morava valley, note the map on p. 175:
http://www.austriaca.at/0xc1aa5576 0x002debf3.pdf
The map again with other comments:
https://imgur.com/fogur6E
Especially changes in burial customs, which spread from the North and were clearly associated with Channelled Ware E-V13 people, should never be taken easily! This means the people from the North had a real impact on the Greek tribes, especially the Northern ones. Those coming down were already mixed from Belegis II-Gava, so not even the newcomers were just E-V13 for sure, but still its to me nearly unthinkable that this had no genetic impact on Greeks and brought no E-V13 in the LBA-EIA transition already.
Only ancient DNA can solve this, but the archaeological record gives us clear hints as to where to look at.
And the impact of the burial practises, new ceramic forms and iron weapons is a clear cut thing, and you just have to compare it with the date for the Dorians expanding:
The scholars were now faced with the conundrum of an invasion at 1200 but a resettlement at 950.
https://en.wikipedia.org/wiki/Dorian_invasion
If Dorians would have really absolutely no E-V13, that would be such a big surprise to me, because they obviously were influenced and pushed by the Channelled Ware related people.
Its also noteworthy that these influences broke through with more effect to the Aegean than to the Dalmatian coast at first. Because some groups to the West, in the Western Balkans, never fully changed to cremation and stopped the Channelled Ware cultural movement at its borders!
The traditional assignment in the region being like:
Illyrian Autariatae = Glasinac-Mati complex (inhumation in tumuli) = more J-L283
Dardani = Brnjica (Channelled Ware related cremating group) = more E-V13
Triballi = Early Iron Age culture of the Velika Morava valley = more E-V13
The Channelled Ware groups didn't penetrate down to the coast on the Western Balkans, but rather a corridor from Vojvodina over Kosovo down to Northern Greece. So I wouldn't wonder at all if the Illyrians which were largely unaffected by the Channelled Ware, the early iron technology, cremation rite, Urnfield influences in general, later Eastern Hallstatt, have very little to no E-V13.
But those penetrated by the migration of the Channelled/Fluted Ware people and their successor cultures should have been.