Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given the output schema exists and annotations cover safety, the description is nearly complete: it covers purpose, defaults, caching, cost, provider semantics, and recommended use. Only minor behavioral details (e.g., pagination or rate limits) are absent, which is acceptable for a read-only tool with an output schema.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.