From here a definition of a centralized projectized organization is available.

Modern virtual project management

Here is some info on distributed organizations

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.