Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations, the description carries the full disclosure burden. It explains that this is only a short test/confirmation action and names the token and path checked, which gives useful context. It does not disclose whether a real notification is exposed to users or what response to expect, leaving minor ambiguity.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.