I have heard that people have been complaining that since places in other star systems are on the low end as far as loyalty goes considering how far away from the Homeworld they are, that maybe there could be a certain structure that you can build in any star that is not your home star. It would sort of be a Star Capital (or HQ), basically it would be a partial version of your homeworld, so that instead of the planets loyalty in another star system be determined by the distance from your homeworld, once you build your Star Capital, then they base their loyalty off of that. Since it is not the homeworld it's impact is not as large as the HW, but it still helps because it would be a place of great importance. But if you do not have a Star Capital then the planets are still based off of the distance to your homeworld. Star Capitals can be built 1 to a star system.
There could even be another sort of thing where it's like trade ships, instead this time it's like courier ships. They are created at your homeworld and at the Star Capitals and they go between each other like trade ships. There could be a system where for each trade ship that docks with a Star Capital (from the Homeworld, or even other Star Capitals possibly), the effect of the Star Capital increases (only to it's full). It could be that the Star Capitals would decrease over time in their ability to influence loyalty (to a set minimal point) and the more courier ships that dock with it the higher the ability to influence loyalty (to a set max point). The idea being that the more courier ships that dock, the more important the Star Capital seems to it's people.