Imagine a country extending citizenship to a whole group of people for no reason other than the location of their birth, and then allowing said people to access the benefits of citizenship, including the ability to receive welfare benefits, vote, and run for office.
I live in that country which happens to be the global hegemon.
Seems to work fine. Dozens of countries do this. It's not some weird hypothetical nor is the US some bizarre outlier.
That sounds like a great idea. The more citizens of your country the better. Note that US citizens pay taxes no matter where they live. So it's not a free ride by any means.