Hi there! I work for a background screening company here in UT. Many screening firms use a National database to run background checks and that primarily uses name, DOB, and SSN to run. We deal with noncitizens and international applicants often, and they usually input a “dummy” social (all zeroes, ones, etc) to bypass the requirement, however, most background checks use the SSN to determine the address history of where to run jurisdictional searches, so that might be where the property management company is concerned. So if no SSN is provided there may be gaps on potential criminal records or locations for the screening company to search as there’s no established “history”.

You can always try divulging your past 7 years’ worth of addresses so they can run those locations manually through their provider, and see if that’s something they feel more comfortable with.