Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
With a single well-documented parameter, annotations covering the safety profile, and an output schema present, the description covers everything else an agent needs: scope (public only), empty-result semantics, code handoff to kfc_promotion, and the alternative tool. Nothing essential is missing.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.