I was thinking further on how the physics should work per my own interpretation.
A starship with a jump drive or a jump gate can create a one-way portal from a jump point in a solar system to the corresponding jump point in a connected solar system. To that effect, if starships with jump drives or jump gates are situated at both the jump point in a solar system and the corresponding jump point in a connected solar system, it does not create a two-way portal. Instead, it creates two one-way portals.
This mechanism established, provided there is a starship with a jump drive or a jump gate on a jump point in a solar system, communications can then be sent through the resultant portal to the connected solar system. However, communications cannot also be received from the connected solar system barring a similar portal creation mechanism in place on the connected solar system's corresponding jump point.
This would allow one to setup one-way, or even two-way communications chains between task groups and headquarters through judicious placement of starships with jump drives on jump points in connected solar systems. I believe a one-way version of this was demonstrated when Steve roleplayed the campaign against one of the NPRs during his Trans-Newtonian game.
In my mind, this clearly delineates multiple roles for jump drive equipped starships. For example, one could design starships for the purpose of opening portals large enough for task groups to travel to connected solar systems, courier starships for the purpose of carrying communications from distant solar systems to more civilized areas or to transport personnel between connected solar systems, or even very small starships for the sole purpose of establishing communications chains between task groups and headquarters during military campaigns.
Any thoughts or interpretations from other players?