When a player exits a station, the OnStationExited trigger will be applied for everyone in the room regardless of whether the trigger is set to local or broadcasted. Each player will also be considered the instigator for the trigger, so events such as TeleportPlayer will apply to everyone.

This is in contrast to the OnEnterStation, OnPickup, OnDrop, and OnInteract behaviors which only trigger for the acting player if set to local, and only has the acting player as the instigator if set to any of the broadcasted types.