Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
For a single-parameter autocomplete tool with a full schema, an output schema, and annotations covering the safety profile, the description supplies exactly what the structured fields do not: purpose, sibling routing, and empty-result semantics. Nothing needed to call it correctly is missing.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.