The US, Britain, France and Japan actually invaded Russia (circa 1918) to try to influence the outcome of a transition of power without success.
None of the transitions I described depended on which leader or which faction had funding from outside Russia. I expect Russian self-determination to continue. Nationalism is a very potent force in most countries, but particularly potent in Russia.
Just because Russia has declined in influence relative to other great powers doesn't mean it will stop exercising self-determination.