Software must be disallowed to run or install with invalid signatures.
Microsoft ActiveX controls and file downloads often have digital signatures attached that certify the file's integrity and the identity of the signer (creator) of the software. Such signatures help ensure unmodified software is downloaded and the user can positively identify the signer to determine whether you trust them enough to run their software.
How this relates to the STIG checklist: STIG vs SCAP benchmark.