Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
For a zero-parameter, read-only status tool, the description covers all realistic states (all connected vs missing credentials) and identifies key return fields (authenticated, pending, connect_url, per-install URLs). No output schema exists, so the description carries the responsibility, and it does so adequately for the tool's simplicity.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.