Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
With an output schema present, return values need not be explained, and the annotations already cover the read-only, idempotent, open-world profile. The description completes the picture with detection method, inference ordering, payment/auth requirements, and the required input — nothing an agent needs 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.