Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already establish the safe-read profile (readOnlyHint, idempotentHint, destructiveHint=false), so the bar is lower, and the description still adds real value: the owner/admin authorization requirement, the fact that no email is dispatched, and that historical as well as current invitations are returned. It does not disclose pagination behavior or result-size limits, which for a list tool is the remaining gap.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.