Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already declare destructiveHint=true and idempotentHint=false, so the safety profile is covered; the description adds the non-obvious operational requirement of user confirmation and the ownership restriction implied by "own". It stops short of stating that the deletion is permanent or what happens to the track in sets/playlists.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.