You can configure it so.
When the owner of an Actor leaves a room, e.g., by calling Leave Room, the original Actor and its replicas are usually all destroyed. This behavior, however, can be changed by the Should Receive Destroy Events property on Strix Replicator.
Setting the Should Receive Destroy Events property on a particular Actor to false prevents the Actor from being destroyed.
For example, if you set the Should Receive Destroy Events property to false when you define the Actor’s class in the Editor, the original Actor spawned from the class as well as all its replicas will not be destroyed.