Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
For a tool with no parameters, no output schema, and good annotations, the description is quite complete, covering the primary success case and the missing-credentials case. However, it doesn't address other potential states (e.g., partial connectivity or network errors), and with no output schema, a bit more exhaustiveness could help, though complexity is low.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.