Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given the closed-world complexity, two required parameters, annotations covering safety, and an existing output schema, the description is complete: it covers success behavior, fallback records, error behavior, determinism, and the absence of request-time signing. Nothing necessary for an agent to call or interpret the tool is missing, even though the domain vocabulary is assumed.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.