There is little difference, with digital you still use ALL of the front element so a narrower hood will vignet the image. It will not be as bad as it would on 35mm full frame though.
Better to use a deeper hood for the view angle.
You are right about the flash though, it need only cover the angle the camera will image.
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I think you will find that not to be true under all circumstances, namely medium and shorter focal lengths. Hold up the camera to a bright surface, and look through the lens from the front, and notice at what point the view of the screen/eyepiece is cut off. Now you will be able to tell which part of the lens is used in creating the image. A lot smaller portion of the front element is used when the sensor size is reduced.
Telephoto lenses, especially those over 85mm or so, need all the front element as the f-stop is a ratio of focal length over entrance pupil diameter, but with shorter focal length lenses, especially retrofocus designs, the front element is much larger than that required strictly for the f-stop. The extra front element area is needed to illuminate the corners of the frame, and that can be reduced when a reduced sensor size is used.
Again, the best way to check for vignetting is to look through the lens from the front, as see if the light path is cut off by whatever you put in front of the lens. With wideangle lenses on DSLRs, you'll find that you can encroach on the front element quite a bit.
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