Rev this is probably the first time I have a difference of opinion than your's. While I agree it is true that BHs and FTs have different aerodynamics you can get them to hit the same POI within what I would consider ethical hunting ranges (<50 yards).
But...and this is something a lot of people do not do.. Not only does your bow have to be properly tuned, but so do your arrows. Both ends need to be square, inserts must be aligned/square to the shaft, BHs must be installed with zero misalignment and of course shafts need to be properly spined. I have shot my BHs with bare shafts at 20 yards (in a safe area) and had them hit same POI as my FTs. If this is done correctly the rotation of the shaft in flight from the fletching will ensure same POI.
Like I said many times, I respect your opinion and I'm sure we can have a long discussion on this but I've done this with probably the last 5 or 6 bows that I've owned. Of course this PSE DNA was giving me fits until I finally figured out what was wrong.