It is unlikely that this person would be reported to immigration. As long as there was no fraud involved or any other crime was committed, then immigration will most likely never know about it.
Also, even if immigration were to find out about it, it would not be a reason not to admit the person into the U.S., again, as long as there was no fraud or criminal activity involved.
thank you so much - just so I can be clear - just lack of payment of bills is not fraudulent or criminal and would therefore not be something that border control would "flag" upon entry into the US
Correct. This is not a crime and thus not something that would make you inadmissible.
Here is a link to the document if you want to read through the whole long thing:
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