Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
For a zero-parameter read tool with readOnlyHint and no output schema, the description is close to complete: it identifies the resource, maps Deputy's odd naming, and explains the returned Id's role. It could optionally note whether the list is paginated or filtered, but nothing required to invoke it correctly is missing.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.