They haven't said anything untrue. They're open about the fact they're working with a colo provider and using a common definition for "datacenter" appropriately.

While "datacenter" can refer to the physical building, it's also commonly used to refer to a set of server/storage/network resources physically cordoned off for your use in a colo.

Using this definition isn't just common with hundreds of other hosters, its well standardized in IT circles, and used as the official definition of the word "datacenter" by numerous industry groups, regulators, analysts, and the US Federal government.

For instance: http://searchdatacenter.techtarget.com/definition/data-cente... http://www.whitehouse.gov/sites/default/files/omb/assets/ego...

The whitehouse.gov pdf above says: "under the FDCCI, a data center is now defined as a closet, room, floor, or building for the storage, management, and dissemination of data and information. Such a repository houses computer systems and associated components...<snip>... housed in leased (including by cloud providers), owned, collocated, or stand-alone facilities."