Since the trade balance has nothing to do as such with either the supply of money or the demand for money, we can conclude that trade balances do not determine the purchasing power of money of respective countries.
Eventually, loose monetary policy will damage real savings to the point that the economy can no longer sustain sufficient economic growth. At that point, it will become clear that money printing can't create economic growth.
All price changes have real effects on demand for goods, and therefore alter goods' prices relative to one another. For this reason changes in the money supply can't fail to affect resource allocation.