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Fascinating question.
At our company, the answer depends on what that software does. Generally, if the software provides a critical function OR gives the software provider access to sensitive data (defined here to be: any category that your company thinks should be protected by law or practice), then a SIG report is requested of the software provider-at the minimum. Critical function couldn't have been purchased without extensive due diligence to ensure the software would perform as advertised.
FWIW: Arrangements that give the software provider access to sensitive data increasingly require a contract throughout the financial industry.