Every occupied HRB must have a safety case. The safety case is a structured argument, supported by evidence, that the PAP has identified the building safety risks, has put in place reasonable measures to manage them, and continues to monitor and review those measures. The PAP captures this in a safety case report, which is the document the BSR requests when it issues a Building Assessment Certificate.
The fire risk assessment is one component of the safety case. It is not the safety case in itself. The safety case sits at a higher level: it answers the question "is this building, with its current management arrangements, an acceptable level of risk to its residents?" The FRA answers a narrower technical question: "what fire risks exist in the common parts and what reasonable measures should the Responsible Person take?" The two documents inform each other, and the same evidence often appears in both, but they are distinct.
In practice this means the FRA on an HRB has to be of a quality that holds up under safety case scrutiny. Vague findings, weak evidence, inconsistent risk ratings or unclear action plans that might survive a routine FSO inspection will not survive a safety case review.