Start dedicated server and join
Create trigger on the client
_tr = createTrigger ["EmptyDetector", [0,0,0]];
run this on the server
diag_log [allMissionObjects "EmptyDetector", local ((allMissionObjects "EmptyDetector") select 0)];
The trigger is present on the server but it is not local to the server
Log out, log in run this again on the server
diag_log [allMissionObjects "EmptyDetector", local ((allMissionObjects "EmptyDetector") select 0)];
The trigger is still present but this time it is local to the server.
Feel free to rinse and repeat creating more triggers, they all will become server property when you log out.
Run on the client
hint str allMissionObjects "EmptyDetector"
Observe how all these dead triggers have been synced with your client and all JIP too.