In the photo above (right), you can see the Electronic View Finder (EVF) is exposed on the left side of the camera. In this photo, the camera is turned on and operating but you can't see any video image on the large LCD. There is a setting that lets me turn off the LCD display and send the lens preview feed to the EVF. Only by placing the EVF near to my eye will the preview turn on. Since my eye is away from the EVF, it never illuminates and appears to be turned off. By doing this the large bright display is also dark and doesn't attract attention as you walk through a crowd or even a quiet environment where someone could see what you are doing. The camera is dark and invisible essentially.
But what if you're right-handed? That's easy, hold it upside down in your right hand with your index finger on the shutter release button. Holding the camera this way you can shoot from the hip without disrupting unfolding events and without making a sound.
Just because you're not looking at the LCD or the EVF doesn't mean you can't push the shutter button!