Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
For a simple one-parameter read-only listing tool with full schema coverage, the description is largely complete: it explains scope, purpose, usage trigger, and that only status is returned. Since no output schema exists, a brief note on the exact return fields would make it fully complete, but the current information is sufficient to call it correctly.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.