

The “some registry” they put you in is probably made up. Credit reporting agencies don’t just accept claims of debt or delinquent accounts from any random person who claims to be a debt collector. In many cases, if it isn’t coming from a financial institution, they will need to see a court judgement before entering it on your credit report.
In the US, what’s more likely is that they find some random accusation to pin on you Abrego Garcia-style and then just keep you in the legal system gauntlet by adding new charges as soon as the timer runs out for trial on the old ones.