•Sample A80301 belonged to the Y-DNA haplogroup R1a1a1b2a (R-Z94) which is of Persian/West Asian origin and found today among Turkic-speaking Karachay people. A80301's mtDNA haplogroup was I4a which is found today in northwestern and central Europe such as in Sweden, and also found around the Black Sea, in the North Caucasus, and in Armenia, Iran, and Siberia.
•Sample A80302's mtDNA haplogroup was D4m2, which is found today in Siberia among the Dolgan, Yakut, and Even peoples, but is never found among Ashkenazim.
•Sample A80410 belonged to the Y-DNA haplogroup G, commonly found among peoples in West Asia and the Caucasus today.
•Sample A80411 belonged to the Y-DNA haplogroup J2a, which is also commonly found in West Asia and the Caucasus today, and also in Central Asia and in parts of Europe like the Balkans.
You need to read the link you even shared. The author said that Ashkenazi Jews did not originate from Khazars, but some did convert.
And all the links, including u/CatoTheElder links show Jews are caucasians, ethnically jewish from the middle east region.
From Cato's and your source:
Gennady E. Afanasiev and his co-authors published the Russian article "Khazarskie konfederaty v Basseyne Dona" in Yestestvennonauchnie metodi issledovaniya i paradigma sovremennoy arkheologii: Materiali Vserossiyskoy nauchnoy koferentsii, Moskva, Institut arkheologii Rossiyskoy akademii nauk, 8-11 dekabrya 2015 in 2015 on pages 146-153. They examined the uniparental markers of 4 individuals in the Saltovo-Mayaki culture of Khazaria who lived circa the 800s:
•Sample A80301 belonged to the Y-DNA haplogroup R1a1a1b2a (R-Z94) which is of Persian/West Asian origin and found today among Turkic-speaking Karachay people. A80301's mtDNA haplogroup was I4a which is found today in northwestern and central Europe such as in Sweden, and also found around the Black Sea, in the North Caucasus, and in Armenia, Iran, and Siberia.
•Sample A80302's mtDNA haplogroup was D4m2, which is found today in Siberia among the Dolgan, Yakut, and Even peoples, but is never found among Ashkenazim.
•Sample A80410 belonged to the Y-DNA haplogroup G, commonly found among peoples in West Asia and the Caucasus today.
•Sample A80411 belonged to the Y-DNA haplogroup J2a, which is also commonly found in West Asia and the Caucasus today, and also in Central Asia and in parts of Europe like the Balkans.