App Permissions: Other App Capabilities

In "app settings" I have not granted permissions to most apps and only such things as locations services or contacts to those apps that absolutely need it to achieve their purpose. When I click on "All permissions" in the top right corner, it lists "other app capabilities" which often include "full network access". Am I automatically giving these apps full network access and not able to disallow it? Link'd In app is specifically the one I'm looking at now.

And further, how come the dtek app does not track some things like when an app access's storage? I would particularly like to know if an app is accessing my confidential files on my phone or over the network!

Thanks