If the person who activates the relay loop leaves the server, the relay loop stops. But that's not specific to dedicated servers like your previous post implied.
And I'm sure someone could think of something simple (event or script) to get around that functionality of the event system.
Most likely all output/input events check whether a player object of the triggeriring client exists and return if not
So you gonna rewrite all events
Or just forget them and make this look good