Short answer: it should remove it.Sorry, I don't mean to interrupt a sub-thread with my reflections question, but Mark's comment helped me clarify what's nagging at me. The sound field separation identifies reflections from the stationary surfaces in the measurement environment. The blue vertical member in my diagram isn't really stationary--it tracks around an arc at the same time the mic does. If the mic moves radially (red arrow) while the vertical member stays a fixed radial distance away (no blue arrow motion), will the processing remove the reflection from the vertical member? Or does the processing only remove truly stationary sources of reflection?
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Long answer: I believe that sound field separation works the same as a sound intensity measurement in that the system is aware of the arrival vector of any sound passing through the bounding measurement surfaces and can consequently ignore anything coming from the "wrong" direction. So for your concept, as long as the vertical microphone support is outside of measurement surfaces and far enough away from the microphone itself to allow a decent IR window, the system will "see" the reflection as coming from a fixed cylindrical surface, but coming from the same "wrong" direction as all the reflections off the walls and other surfaces in the room.
Edit: also, notice how similar your concept is to Klippel's NFS, so it's clearly workable. A side note on that, I've heard that their patent includes a method to address reflections of reflections (i.e. sound leaving the speaker, bouncing off of a surface then bouncing off the speaker and getting into the mic). I have no idea how important that is to include in a DIY version.