Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already cover the safety profile (readOnlyHint, destructiveHint=false, openWorldHint), so the bar is lower. The description adds real value beyond them: the tool returns grounded page content, requires a public URL, and rejects competitor study-material hosts. It stops short of describing failure behavior (timeouts, paywalls, non-public URLs) or rate limits.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.