Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
An output schema exists, so the description need not detail return values. The description provides enough context (server readiness) for an agent to know the purpose and likely outcome. It is slightly incomplete in not mentioning the exact success/failure signal, but for a ping, the common convention suffices.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.