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Consider that an ancient presence of J2 in Europe, although at the time less widespread at the statistical level, is also attested in periods prior to the metal age, during the late Neolithic period, and is located close to the Danube area, among the Eastern Slavonia and Hungary (cultures of of Sopot and Lenguel), therefore not far from the Austro-German territories.
https://www.eupedia.com/forum/thread...ngyel-Culture)
https://publications.ub.uni-mainz.de...5/pdf/4075.pdf
Without taking anything away from some possible branches of J2 subsequently arrived with the Indo-European invasions, as regards its presence in Germany, being more attested in the south/western and Rhenish area, I suspect that in the latter case the contribution of the settlers and the Roman military was not negligible.