Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations, the description carries the full burden. It usefully discloses the transport (PostgREST) and that only a row count is returned, not the rows themselves, which tells the agent this is a read-only existence/visibility probe. However it says nothing about side effects, failure semantics, permissions required to run the probe, rate limits, or what a denial returns.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.