Are you removing Test Studio and putting it all in the cloud?
No, Test Studio Desktop will remain a locally installed and executed program with local data.
Mobile Testing is a separate product. Although it is downloaded from the Telerik Platform, Mobile Testing does
install, execute, and store data locally. This includes tests and results. Optionally you can publish results online to the Telerik Platform, but it's not required.
Integrating Mobile Testing with Test Studio Desktop is on our 2014 roadmap. We have no firm ETA yet, however.
The API Framework documentation you found is part of a legacy product that is no longer offered.
Test your Android and iOS apps against any device or browser with Telerik Mobile Testing. Part of the Telerik Platform