From here a definition of a centralized projectized organization is available.
Modern virtual project management
Here is some info on distributed organizations
Distributed Organizations are Inherently Responsive
Since we have a central PMO (ATRC) we can consider it centralized.
Since we have less than 1 meeting per week for project members, it is a virtual project.
Since most of our members work remotely, it is a distributed organization.
So the category might be called :
Centralized PMO, distributed organization with virtual and non virtual projects.