With an average IQ of 105 I expect much from China. With an average IQ of 82 I expect much less from India.Again, no. The period of exploration, colonization and imperialism was actually BAD for most of the world, capping off with the World Wars when the empires largely destroyed each other because they were too fucking greedy.
The reality is, the "dominance" or Euro-centric culture is only a blip in history, Before Columbus, the big economies were India and China. China and India are starting to reassert their rightful positions. Ebb and Flow.