Maybe my original question wasn't specific enough? So you are saying there is no "extra" red-shifting due to the gravitational effects of the black hole for light coming from behind the black hole? Some photons skim "close" to the event horizon, and have to climb out of the gravitational well, but they don't end up red-shifted for the camera (because maybe they were blue-shifted on the way in from infinity?). Some photons sufficiently close to the event horizon will even do an orbit around the black hole (one or more times) before reaching the camera. And those photons that made the orbit maybe do have "extra" red-shift, because they are essentially no longer coming from infinity? Maybe? ???