I don't know about that "any rest will shoot any head well" out of a tuned bow statement. I have had some mixed results with bow tuning - some will tune perfectly and some you just can't get a perfect paper tear - or if you do get a perfect tear, it still won't shoot broadheads and field points to the exact same spot. And some broadheads just don't want to shoot good groupsout of certain bows - but will group well in other bows. I have found the same thing to be true with rifles - some will shoot certain bullets into the same hole, and another rifle won't group that same bullet into 2".
But then again, maybe I just don't know how to tune a bow