It's always a bit difficult to answer these things without making a misunderstanding out of it but I'll try.
The installation was initially built by Seps. I guess some people would know that.
It's no longer Seps, hasn't been for a year. There's a similar amount of them going there to trade as there is Junkers, Xenos, Unioners, Rheinlanders, Libertonians etc.
- Admittedly this thing started as a mere rp gimmick to further branch out Sep lore. But I liked it too much so I made it a completely separate thing. Sure they're positively seeing the people they share the system with and who protect them. But at this point if Rheinland law and Separatists regulations clash, they'd probably follow Rheinland law.
The closest thing to compare Bristol to is probably something like IMG. Of course at a smaller scale.
So to answer your question we have to consider that it's not really Separatists. The installation originated from them. The current people flying for it are all not even ex-Separatists.
Hope you can work with that answer. If it was still just an enhancement of Seps like the original idea was I'd have told you "yes" and I would have set Liberty to hostile.
Expected behaviour from lib law enforcement would be suspicion and some dislike as they clearly have to do *some*thing to not be nuked by the unlawfuls in the system.