Aryan at first meant "companion", not noble (it started to mean "noble" later). This is how Indo-Iranians described themselves.
In addition the Indian branch of Indo-Iranian languages and peoples is called Indo-Aryan languages (and Indo-Aryan peoples).
So using a term "Aryan migration" is not incorrect. You can as well use a term "Indo-Aryan migration".
Pazyryk culture were people who spoke Iranian languages - not Turkic. What was their physical type is a different issue.
But it is IMO impossible that males and females of the same reproductive communicy can be so different "racially".
Maybe they are drawing conclusions based on a very small sample of people.
Ethnic groups exist as long as humans do, so how can it "predate the existence of any ethnic group"?
The first ethnic group which expanded out of Africa, was the "Out-of-Africa Tribe" - check:
The society of our “out of Africa” ancestors (I)
The migrant warriors that colonized the world:
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3104569/
The “Out of Africa Tribe” (II):
Paleolithic warriors with big canoes and protective weapons:
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3656025/
Culture Out of Africa:
http://www.dhushara.com/paradoxhtm/culture.htm
Who said they were European? R1a-Z93 split from R1a-Z283 somewhere near the Ural Mountains, it seems.
At least in Kapova Cave in the Ural they found a burial of a man with Z645, which is ancestral to both Z93 and Z283.
A lot of North Indian ancestry is from the Eurasian steppe as well, because that's where Indo-Aryans came from.
By the Eurasian steppe in this case I mean mostly Central Asia, Southern Russia and the Ural Region.
West Asia is to the south and to the south-west of Central Asia, and that's not where Indo-Aryans came from:
Central Asia according to 3 different definitions: