Different types of disconnect triggers (someone logging off vs server going down)

We would like to add more "disconnect" triggers to our servers, that way we would be notified if a server went down.  However the disconnect trigger recognizes all different types of disconnects the same.  So, if we set the triggers now, anyone that logs into a server from screenconnect and then logs off, we get a disconnect message.  It would be great to have the ability to have different types of disconnects.