Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations, the description carries the full burden, and it adequately discloses a non-mutating read-only operation via the verb 'check'. It does not detail response format or error behavior, but for a zero-parameter reachability check, this level of transparency is sufficient.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.