Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
With no output schema, the description serves as the primary source for return values. It covers the main scenarios (all connected, credentials missing) and mentions key fields (authenticated, pending[], connect_url, per-install URLs). It may not exhaustively list all possible states, but for a simple status tool, it is sufficiently complete.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.