> *as well as centralized?...sure it can, which means that it's centralized.

No, you aren't understanding. “organization” can label something that is centralized or something decentralized/distributed. Or it can be anywhere in between. “Organization” implies some structure, it doesn't imply that the structure is heirarchical/centralized, though.

> What it cannot be is completely independent.

Yes, whether centralized or distributed an organization can also be completely independent (or not, either way), which is a separate issue.