Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations provided, the description carries the full burden of disclosing behavior. 'List' conveys a non-mutating, read-only operation, and 'whether each refresh token still works' adds diagnostic context about what the tool reports. It does not mention whether checking tokens triggers network calls, but for this simple tool the behavior is reasonably clear.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.