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 main outcomes and provides enough context for an agent to understand what to expect. It explains both the fully connected and missing-credentials states. However, it does not address partial connection scenarios, which could be a minor gap, but for a status-checking tool, the description is sufficiently complete for effective use.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.