Trade Deficit in a Fiat Currency world?

In Henry Hazlitt’s book, “Economics in One Lesson”, he writes how money spent in a foreign country to import goods from that country must be spent by that country to buy goods from the original country (either directly or indirectly by exchanging with someone else who wants to do so), because the foreign currency is generally not useful in that country. A snippit:

An American exporter sells his goods to a British importer and is paid in British pounds sterling. But he cannot use British pounds to pay the wages of his workers, to buy his wife’s clothes, or to buy theater tickets. For all these purposes he needs American dollars. Therefore his British pounds are of no use to him unless he either uses them himself to buy British goods or sells them to some American importer who wishes to use them to buy British goods. Whichever he does, the transaction cannot be completed until the American exports have been paid for by an equal amount of imports.

My question is this: does Fiat Currency change this?

In the current world, exchanges between currencies can be done almost instantaneously via electronic exchanges. Therefore, a selling country does not need to hold foreign currencies which therefore must be used to buy other items from the country in which that currency is held. All well and good as far as it goes. But in a commodity-backed currency world, there is only so much of the other currency to exchange, so it seems that there is a limit on the amount of money that can be converted.

However, if governments can print money at whim, does this change the equation? Granted, the U.S. can’t print Chinese Yuan, but with an indeterminate and constantly changing soft “cap” on the total amount of money “out there”, does this break the feedback loop whereby excessive exports would spur imports because the foreign currency received would have to be spent in kind?

Say Chinese depositor sells a product to the U.S. for $1,000 and puts that $1,000 in a Chinese bank. He will have a certain amount of Yuan. Yes, that money will be immediately available to him, but the conversion was necessary. He basically sold the bank $1,000 in return for however many Yuans the exchange rate calls for. The $1,000 still exist. Just because it’s fiat doesn’t mean they aren’t dollars. Now, the bank must sell the dollars and buy whatever currency they need. In the end, the case remains the same.

I’m not sure how they calculate trade deficits. I believe they take into account foreign investment as trade. That is, say that Chinese entrepeneur sells an item for $1,000. He spends $200 and the other $800 he invests in the United States. The money has still been returned. I’m not sure that is taken into account when they figure out trade deficits (imports minus exports). What I don’t know if they consider the fact that perhaps some people will save the money, and the money will continue to be held in China (even if it’s moving around and being sold for Yuan over and over again) and then is spent in the U.S. the following year.

Henry Hazlitt, in that quote, is talking about fiat currency, AFAIK.

I’m sure Hazlitt has taken into account the potential effects of fiat currency. But I’m thinking about it in the modern sense where it seems to be running out of control.

My thinking is this: one of the ways that the Chinese can spend their American dollars is by buying U.S. government bonds. They hold a lot of these. However, the current Fed policies allow uncontrolled issue of new government bonds. Does this distort the feedback mechanism?

More specifically, does this distort the feedback mechanism in such a way that it minimizes the self-balancing effect of excessive imports spurring exports and vice versa?