RE: Fall away rests versus stationery rests
I used to shoot an NAP Quicktune 1000 shoot through so all my arrows arer Cock Vane Down. I recently upgraded to the NAP QT 4000 fall away rest. My accuracy improved by 100% or better. On occasion I'll put an arrow out but they are all within 2" at 20 yards. So I am well sold on the fall away's. When I throw an arrow out I am convinced that the fault is MINE not that of my set-up and tuning [but that is rare]. I am now switching to a new method of releasing and expect that to help a great deal.
It sounds to me as though you are not all that confident with the rest or your set-up. Work on that confidence knowing that you have the best of al worlds.
I'd keep your fall away.
Dick