Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given that an output schema exists (indicated by context), the description does not need to detail return structure. It covers all necessary aspects for a status-check tool: action, resource, statuses, additional outputs, and authentication. For a simple read-only operation, this is complete relative to its complexity and schema richness.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.