I'm struggling to see a reason for that type of averaging.
Can you give a practical example demonstrating the advantage?
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The reason that a normal incident meter's dome is hemispherical is to be able to meter for the light falling on a 3D subject.
It is designed to "read" (average?) the way the "dark" & "light" parts of the side visible to the camera are lit and (thankfully) ignore back-lighting/reflected light.[/QUOTE
It's called The Duplex Method that is described in The Exposure Manual by Dunn and Wakefield and using it no matter what direction the light is coming from even in extreme backlighting it produces correct exposure, you take one reading from the subject to the camera in the normal way and take a reading, then point the the dome at the Sun and take another one, then all you do is average the two reading,. I've been using it for many years, try it it works