Hello Maciamo ,
I don't understand What you Mean by : "Turkic invasions therefore contributed more to the diffusion of Indo-European lineages (especially R1a1) than East Asian ones." ?
And about "Hungarian, sometimes mistaken for the heir of Hunnic because of its name, is in reality an Uralic language (Magyar)" I have read : The Madjars show evidence of extensive genetic drift, with 24/45 carrying the same 12-STR haplotype within haplogroup G. Genetic distances based on haplogroup frequencies were used to compare the Madjars with 37 other populations and showed that they were closest to the Hungarian population rather than their geographical neighbors .
source : "Haplogroup G (Y-DNA) Information, Haplogroup G (Y-DNA) Reference ... Information and research on Haplogroup G (Y-DNA) on FindTarget Reference ... of the tested men were G. The Madyars of Kazakhstan were found to be 87% G1"