Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
For a single-parameter polling tool with an output schema and read-only annotations, the description is nearly complete. It covers when to call, how often, when to stop, and what the successful response contains. The only missing detail is what a failed job returns, but this is likely in the output schema.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.