When the connections play an important role in the definition an organisation, a new question emerges.
Is the organisation defined as the group of linked individuals? The idea is that the (stronger) internal linkages differentiate the organisation as opposed to its external linkages.
Or is the organisation defined through the connections it has with other groups? The idea is that the position and interaction of the group in the environment defines the organisation.
The first idea looks fine but it denies the relevance of an explicit border as it is more internally focussed and less outward oriented. The second idea is not very different from the concept of border as the (virtual) place where multiple interactions shape the connections.
Both ideas can exist ate the same time, their validity is more a question of perspective and orientation, as are many things in organisation design.