Re: Unusually
If you're thinking of Public Lending Right (PLR) or Lending Right Schemes (ELR/PLR) then this does not exist in the United States.
It does exist in the UK, much of Europe, Australia, New Zealand and a few others.
So the IA has zero responsibility once they've purchased an initial copy (and therefore the royalty portion of that cost) to pay anyone anything for any lending in the USA. Whether the IA tracks and pays these fees for loans to UK or other residents, no idea. To my knowledge, these schemes generally only apply to public libraries and in some cases (e.g., Oz) educational libraries and institutions so the IA even being included would be a base question.
Most of these schemes only pay if an author (and publisher and other eligible folks) live in the country in question, e.g., Australian authors, publishers, etc. (https://www.arts.gov.au/funding-and-support/lending-rights).