Definitely not geosynchronous. It is a Quasi-Zenith Satellite System as per your link.
A lovely animation of three satellites: https://upload.wikimedia.org/wikipedia/commons/b/ba/Qzss-01-...
A lovely animation of three satellites: https://upload.wikimedia.org/wikipedia/commons/b/ba/Qzss-01-...
"QZSS uses three satellites, each 120° apart, in highly inclined, slightly elliptical, geosynchronous orbits. Because of this inclination, they are not geostationary; they do not remain in the same place in the sky. Instead, their ground traces are asymmetrical figure-8 patterns (analemmas), designed to ensure that one is almost directly overhead (elevation 60° or more) over Japan at all times."