Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given the output schema exists, the 100% schema coverage, and the annotations describing read-only, idempotency, and destructiveness, the description adds the remaining essential context: internal scope, public status page exclusion, and confirmation behavior. An agent has enough information to select and invoke this tool correctly.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.