Here is what I know about the FIA. TL;DR in the end it comes down to US foreign policy pulling strings just enough. It looks like a coordinated effort because it is coordinated, the goal is to keep the status quo and continue to either hold a monopoly(FIFA) or further expand into the US as market(FIA).

They are not "independent". All of these rely upon the well wishes of the western government in order to maintain their global expansionist projects. Being on good terms with western governments is pretty essential to their survival

FIFA's push to bring the WC to the third world is done in an undemocratic and coordinated effort with the regional capitalist class. In Brazil(despite the leftist government) and Qatar the investment necessary to build new stadiums and all the other infrastructure is dependent on private investors and obviously everyone in the world that makes money in some way has a relationship with US imperialism.

In Brazil the private contractors who built all the stadiums had deep ties with right wing politicians who siphoned the money for their own benefit, inflating costs etc. In Qatar it is all infamously built by real actual slaves.

A third point is the massive and well known corruption and exchange of favors necessary in order to keep their monopoly and the status quo along with all the private capital money flowing into the sport. FIFA can't simply decide to do their own thing without risking everything that holds it together.

-FIA is shifting from an European focused policy of the 2000s to a third world expansionist policy under late Bernie era, to a further newer recent shift under LIberty media to a "entertainment" based focus where the US is now the primary focus.

Obviously after the initial backslash of the Saudi GP it went ahead and nobody realy cares, the F1 fan/critics mantra is always "F1 should stay out of politics", Malaysia, China, Bahrain all had complaints in the past but nothing was done, even China managed to weather it out because I believe they still have hopes that F1 will breakthrough in China despite US foreign policy. The irony and double standard doesn't need explaining. Russia realy doesn't offer as much money and is not worth fighting for it.

Liberty media can't afford change course now that the US/Netflix is their target. The Bernie third world expansion plans failed miserably(India GP, South Korea GP both failed) and so it is trivial to see that if the US pulls their strings there wont be Netflix, or streaming or US GP.