This is an interesting premise, but an overly narrow view of history that fails to capture the true history of the region. Putin and other Russian autocrats from the Romanovs on down have seen themselves as the heirs to Byzantium (Eastern Roman Empire). Even Mehmet the great crowned himself Caesar after the fall of Constantinople. Autocracy in the region flows from this history. The Kaiser in Germany and the Tsars in Russia were absolute monarchs long before the Golden Hoard and long after. The real angst in Russia is that Byzantium USED the Golden Hoard to pummel Russia when they challenged the Emperor and Patriach.
“Tsar/Czar” and “Kaiser” are variants of the Latin “Caesar.” That supports your thesis over the Mongolian origin.
The Golden Horde:
https://en.wikipedia.org/wiki/Golden_Horde
Predates the first Tsar of Rus
https://en.wikipedia.org/wiki/Tsardom_of_Russia
By 300 years.