Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already declare the tool read-only, idempotent, and non-destructive, so the bar is lower. The description adds meaningful behavior: the listing is exhaustive ('every SANTISMM Lab'), includes formulas/assumptions/citation URLs, and the optional kind restriction changes the result scope. Nothing contradicts the openWorldHint or other annotations.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.