Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
For a single-parameter, read-only, idempotent tool with full schema coverage and an output schema, the description is complete. It covers the main use case, return contents, prerequisite courses, and both error scenarios. Nothing essential is missing for calling the tool correctly.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.