An employer’s obligations under the FCRA carry many responsibilities from which a business may suffer financial and reputational loss if ignored.
HR is central to such much of a business' success. Your background checks fit in there too...
Employers have a choice of who to hire and who not to hire. They also have a choice in how their background checks are run.
The difference between a background check and E-Verify is based on the purpose of each and surrounding regulations.