Killable Child Visibility
For Visible and Invisible events to work normally on a Killable, there must be a Renderer Component on the Game Object you put Killable on. If you have the Renderer in a child Component instead, you will need to add a Killable Child Visibility to the child Game Object that contains the Renderer.
Do this from the Component -> Dark Tonic -> Core GameKit -> Combat -> Killable Child Visibility
menu item. Now, if this child with the Renderer Component is a first-level child of the Killable without the Renderer (it's parent is the Killable), you are done. If it's a second-level child or higher, you will need to drag the Killable object into the "Killable To Alert" field in the Inspector. Then you are good to go!