There were so many stories...
Working at McKinsey in Moscow in 90s made you instantly into a multi-millionaire. US was sending planes full of dollars to Almaty. Chechen avisos were a CIA plot... and so on and so forth.
Yes, many ascendants had contact with the West. It’s how they played the game so well at the start of shock therapy. In most cases, they hired the right consultants who helped them do things like hoover up shares from people who didn’t know better to build a controlling stake. But to get to that point, they’d already accumulated assets.
The West enabled the rise of Russia’s oligarchs. But it didn’t mint them.