How do they determine this? Do they publish a list for example (maybe similar to the newish British high potential individual visa program), or use a published global rankings table, or similar? Do they fund universities in countries other than the US too? Are the funds unlimited if you can get into one of these universities, or do they have a fixed number of students/funds to allocate each year?
I’d suggest you go for this, of course, but not place all your eggs in this basket and ensure you have somewhere affordable to go to if you do end up needing to fund it yourself as well.
If you come from a country which typically does not send a lot of students to the US, it may give you a small edge at some of the colleges looking to build a diverse class. (I can think of at least two similar cases, one an ivy and one a t30, and I was told this much by someone in adcom at a different ivy), but of course you have a strong academic base anyway even without that,