Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
For a zero-parameter read-only gate with no output schema, the description covers everything an agent needs: the eligibility criteria it validates, the failure codes it emits, the remedy for each, and the follow-up tool. The only minor omission is the exact response shape, which is largely implied by the enumerated codes.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.