All evidence to the contrary.
Evidence to the contrary of which bit? Either way, lets try another way:
My point is the imbalance will still exist. The obvious and well known example is the Eurozone where there is a common settlement without borders but imbalances remain between the nations, say between Germany and Greece. The imbalance exist within countries too, i'm mindful of the north/south divide in the UK, and most (all?) countries have their rich and their poor regions, it's just not often discussed. Bitcoin would only provide a different currency in which to account for and measure the imbalance. Country A would export BTC1Billion of goods and services to country B, while importing BTC700Millon from the same.