You keep repeating that line and that is not what  H.J. Res. 40 is about.
 EVERYONE still needs to go through a background check. What was removed was SSA having to give the names to NICS of recipients  who use a representative payee to help manage their benefits due to a mental impairment . A mental impairment doesn't necessarily mean a person is violent. BTW, this has the blessing of the ACLU.

https://www.aclu.org/letter/aclu-vote-recommendation-social-security-ncis-rule-fair-pay-and-safe-workplaces-eo