I had assumed the question was "a universe where an event can have out-connection but not in-connection" (and the consciousness one was about having an in-connection but no out-connection).

In a universe with NO connections, you wouldn't get patterns, much less emergent patterns - no atoms, no stars, no planets, no life, not even internet!

Multiple segregated causal networks would be multiple realities (I think the simplest reference would be to think about two different books or virtual worlds, although there's actually still some connection there)

Individual events which have out-connections but not in-connections, by contrast, seems like a fairly interesting question to explore. Why DO we assume that all evens have in-connections? Why not just assume the weather is because Zeus is mad, and Zeus' emotions are beyond the ken of mortal minds?