Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already flag destructiveHint=true and idempotentHint=true; the description adds genuinely new behavioral facts: what is destroyed (the watch and its remembered state), the observable post-condition (check_watch returns not_found), and cost (free). That is exactly the added context the annotations don't carry.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.