Share your experience!
Messages app will send you notifications in stamina mode,same with hangouts.
Strange,on my Z1 hangouts and messages can send notifications but only if mobile data is enabled (that is for about 15 minutes after turning off the screen on stamina). Have you checked safe mode?
Facebook is no longer a system app so I think you must add it to white list.
The thing is that mobile data will be disabled so there should be no notifications until you turn on the screen.
If its a MMS it will go through data not WiFi