Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
For a simple verification tool with 2 parameters and no output schema, the description is complete. It covers the purpose, behavior, parameter semantics (including optional fallback), and use case. It does not explicitly state the success return value, but the error case (SIGNATURE_MISMATCH) is described, which is sufficient for understanding.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.