I understand your confusion. The reason is that this admixture was spread in several steps, as I explain
here.
1) The Caucasian admixture was first brought to Europe by Neolithic farmers, but got progressively diluted (37% in Neolithic Greece, 31% in the Balkans, 28% in Italy, 12% in Scotland, 7% in Globular Amphora Poland).
2) A new wave of Near Eastern
Chalcolithic farmers and the advance of the
Kura-Araxes culture from the South Caucasus spread Caucasian admixture across the Near East and Southeast Europe. The descendants of Kura-Araxes spread to Greece during the Minoan period.
Minoans had 38% to 45% of Caucasian admixture, higher than any Neolithic culture in Europe or even Anatolia (Boncuklu Aceramic Neolithic had only 30 to 33% of Caucasian).
3) Ancient Greeks later colonised Italy and Iron Age samples of
Greeks from Italy show as much as 40% of Caucasian admixture (against 13% to 21% for Iron Age Latins).
4) By the time of Emperor Augustus, Italians of Italic/Latin, Etruscan and Greek origin had been intermarrying for centuries and the average "Roman" from the Italian peninsula had levels of Caucasian admixture around 20% to 30%. Migrations from Italy during the Roman period spread this admixture around Europe, notably in regions with lots of Roman colonies like Southeast France, southern and eastern Iberia and Belgium + Rhineland (lots of legions stationed in the region and lots of Roman villas in Wallonia).
The Basque lack the Caucasian admixture because they were hardly Romanised at all - so little in fact that they managed to hold to their language, unlike anyone else in western Europe.
