No taxation without representation also works the other way around, no representation without taxation. If you don't pay your taxes at home you should have no right to vote (plus, to be a bit actual, no right to be elected and no right to use your foreign money to buy an election).
The trade-off is between international labour mobility and capital tax evasion.
As immigration laws throw a far larger monkey wrench into labour mobility than some double taxation issues and as capital tax evasion has a far larger effect upon the imbalance between labour and capital (Of course in the ideal world you would pay the price of giving up tax competition and thus the efficiency of public agencies to undo the political power of capital, i.e. we would have one world government with one set of income tax rates.) I like the US rule.