Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations, the description carries the full behavioral burden and does disclose a concrete side effect: it deletes the local cookie file. It also indicates the logout action itself. It does not discuss idempotency or whether a server session is invalidated, but the recorded side effect is the most important disclosure.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.