Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already declare readOnlyHint=true, destructiveHint=false and openWorldHint=true, so the agent knows this is a safe, side-effect-free read against an external service. The description adds that the result concerns login state and the current account, which is useful since no output schema exists, but it says nothing about failure modes (e.g. what happens when not logged in) or what the account identifier looks like.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.