Not so much, the World which includes states, corporations, people, require dollars to service their eurodollar debts, the Eurodollar debt / liabilities market is a paper market worth anywhere between 350 Trillion $ to 420 Trillion $, which is currently rolled over at roughly 75 Trillion $ annually, the debt / liabilities are across the world, predominately not with the the West but with each other.
So every year there is the demand for the $ to service the interest or refinancing of the debt.