Uranium production doesn't really follow its actual occurrence though - you'll note the places listed are all participants or proxy states of the Cold War arms race. They inherited that production capacity and mining - whereas Australia barely mines at all because it has no nuclear weapons and only 1 research reactor.

Basically I'd say there's a lack of evidence that proven reserves only exist in unstable states, but also the refueling cycle changes things dramatically - reactor fuel can be easily and compactly stockpiled, and happens on yearly cycles - much less subject to shifting local geopolitics.