Well I'm no expert in politics. McGeehan refers his readers to an article defining a kleptocracy, and that article leads with this, after a brief introduction.
"Definition of a kleptocracy
Most explanations of kleptocracy – derived from the Greek for ‘thief’ and ‘rule’ – stress the aspect of ‘grand corruption’ whereby high-level political power is abused to enable a network of ruling elites to steal public funds for their own private gain using public institutions.
Kleptocracy is therefore a system based on virtually unlimited grand corruption coupled with, in the words of American academic Andrew Wedeman, ‘near-total impunity for those authorized to loot by the thief-in-chief’ – namely the head of state."
It goes on to explain other features of kleptocracies, all of which seem to describe the current Russian system.
This is the only definition of kleptocracy that I have read, so my understanding is based on this. Abu Dhabi is not governed in this way and I do not think it is fair to refer to it as a kleptocracy.
For a description of the political system of the UAE, have a look here:
https://u.ae/en/about-the-uae/the-uae-government/political-system-and-government.