Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
With one parameter, full schema coverage, readOnlyHint annotation, and an output schema present, the description is complete. It covers what the tool does, when to use it, what inputs look like, and its operational characteristics. Nothing essential is left unexplained for an agent to invoke it correctly.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.