Researchers from several institutes worldwide recently developed Quarks, a new, decentralized messaging network based on blockchain technology. Their proposed system could overcome the limitations of most commonly used messaging platforms, allowing users to retain control over their personal data and other information they share online.
But in this case, the metadata is not accessible to outsiders.
If you can see it, you can analyze it. Metadata is more than message headers; traffic analysis generates usable metadata, too.
Any form of internet communication is potentially susceptible to traffic analysis, so that flaw isn’t specific to this particular design.
The goals here are to address some of the other weaknesses of communication protocols, ie lack of auditability and reliance on a central server. They do not claim it’s completely impervious to attack.