The Fremen are fiercely independent. They oppose all outside imperial or house rule. Enforcement of any such rule will lead to uprisings.
I recommend unexpected uprisings by the local Fremen to challenge oppressive house garrisons for this star. Thus fighter garrisons can randomly be attacked there. Attacking uprising size should trend with the amount of IND built on that star system. There should also be background AI research allocation to determine Fremen uprising weapons technology for each attack. Fremen winning the attack will simply reduce the house fighter garrison to 0, without loss of ownership of this star by the house.
This bonus star should also account for periodic sandworm attacks, which launch spaceward to will eat 1 carrier in orbit at a time.
There should be an indication about 2 hours ahead so carriers already there my evacuate.
Inbound carriers ? Well, they get to release 50% of fighters brought into orbit as the sandworm strikes.
The House owning that star may peacefully keep 0 fighters and / or 0 carriers for ownership. However,
Here is the catcher:
Spicy science is not stockpiled at this star. Spicy science research is processed via orbiting carriers.
The rate is 1 research point per carrier per hour, up to the 10 science there when a house orbits 10 carriers at any particular hour.