For me, even though I am not working, the issue arose when I moved in South Dakota. I had changed my name and all of my documents, including my birth certificate, and had three photo IDs (including a passport).
However, during the rental application, they pull a credit report and do a background check to ensure you are not a felon or sex offender. That pulled up a different name associated with my Social Security number. Since I transitioned at the previous address, my previous landlord would have a copy of my name change documents.
It all worked out, as there was no suspicion or reason to suspect I was up to no good; I had good references, etc. However, the fact remains that the historical records used in routine processes to prevent identity theft did out me to my new landlord.
Employers use similar services for similar reasons to vet employee candidates.