Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given the tool's simplicity (no parameters, no output schema), the description covers the essential elements: what it does, the required authentication, and the output nature. It could note potential limitations (e.g., requires admin privileges, performance across many tenants), but for a status-list tool, the description is nearly complete.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.