Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given the single clean parameter, the readOnly annotations, and the presence of an output schema, the description is complete. It tells the agent what the tool does, what input is required, what it returns, and the cost/auth model, with no critical gaps for invocation.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.