US printing is not the same as everyone else printing. Almost all trade deals worldwide are done in USD. Everyone except the US must export goods and services (i.e. actually work) to acquire the dollars which will finance their imports; US can just print.

Goods and services that are traded internationally are priced in USD. Other currencies do not end up directly representing goods and services; they are relative to the USD. Therefore, the demand for dollars is always very high, and it will be as long as the dollar keeps the reserve currency status.