Key part of the phrase "high value". Some US cards give back ~2% on all purchases.
The best of those appears to be 1% on purchases at six specific retailers or 0.1% on purchases in the EU/1% outside of the EU. Many of them don't even give cash back, they give their own cryptocurrency that they made up out of thin air.
This is the answer. In the US the business essentially funds the rewards these cards provide because they can charge whatever interchange fee that card has decided.
this seems like a false statement.
here is an article from 2021 that highlights some of the numerous cashback offers:
https://medium.com/@danminea/best-cashback-cards-with-reward...
and Amex usually has cashback cards as well.
disclaimer: i have used some of these cashback cards both in the EU and outside of it.