That assumes (based on nothing as far as I can tell) an either-or structure to the question where one coin must "real anonymous" and one must be "fake anonymus".
Monero uses on-chain mixing and with stealth addresses and relies on cryptography. Darkcoin is off-chain mixing and relies on semi-trusted nodes to coordinate the mixing process (and soon for other features such as instant transactions). As such they each have a different set of different potential vulnerabilities. Against some hypothesized types of attacks one or the other or both or neither may be susceptible.
They both seem to be sincere efforts in terms of technology. That doesn't necessarily make them equal in terms of competence or quality or security or prospects for success but I don't see the need to use loaded words like "just claiming" in the discussion.