Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given the existing output schema and 100% parameter coverage, the description covers the key points: purpose, async return, credit cost, ownership requirement, and optional persona. It could mention the expected runtime or how to retrieve results (e.g., using session ID) for full completeness, but it is adequate for an agent to use the tool correctly.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.