The paper establishes a strict property hierarchy: unobservability ⇒ anonymity, and sender/recipient anonymity ⇒ relationship anonymity. Unobservability is strictly stronger than anonymity because it additionally requires undetectability against all uninvolved subjects — the IOI's very existence must be hidden — while anonymity only hides the subject's relationship to the IOI.
From 2010-pfitzmann-terminology — A terminology for talking about privacy by data minimization: Anonymity, Unlinkability, Undetectability, Unobservability, Pseudonymity, and Identity Management
· §7
· 2010
Implications
Circumvention systems that achieve anonymity but not undetectability remain vulnerable to confirmation and intersection attacks; explicitly targeting unobservability as the design goal is necessary when facing traffic-analysis-capable adversaries.
Relationship unobservability — hiding that a specific sender-recipient pair communicates — requires both undetectability for outsiders and anonymity for participants simultaneously; neither cryptographic nor traffic-shaping mechanisms alone are sufficient.