"You know what the fellow said – in Italy, for thirty years under the Borgias, they had warfare, terror, murder and bloodshed, but they produced Michelangelo, Leonardo da Vinci and the Renaissance. In Switzerland, they had brotherly love, they had five hundred years of democracy and peace – and what did that produce? The cuckoo clock."

-- Orson Welles' monologue in The Third Man. Which was set in post-war Vienna.

is there any other country with less than 10M people and no natural resources which is more relevant than Austria in the global economy?

Possibly Switzerland, but not by much.

There are so many obvious counterexamples to your claim as others have pointed out. Mongolia was and is a tiny nation but had one of the largest empires the world has ever seen.

Hong Kong?

One could argue that having on of the world's best ports near the world's #2 economy counts as a natural resource :)

Denmark?

The best level of living in the world is the best innovation I can think of.