Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations provided, the description carries the burden. It discloses that the operation lists only broadcasts the user has access to, a useful behavioral filter. Though it does not explicitly state read-only or lack of side effects, the verb 'Lists' strongly implies a safe read operation.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.