Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
The tool is simple (1 parameter, no output schema, no annotations), but the description is still incomplete. It does not explain what the returned status values are, error conditions, or the context in which this job-status check is used (e.g., after scheduling). The absence of an output schema increases the need for description to cover return values, which it does not.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.