Either I must be missing something here or I'm a complete numbskull. In the video about balancing APC props I completely get the concept of balancing the prop in two planes. But in that example, it seems to me that they've ended up with a prop that is nicely balanced about the rear counterbore but is completely out of whack with the hole which is what sits on the shaft it's mounted to, except for some of the electric motor adapters which have a larger diameter boss on the drive hub. Moving the hole to be concentric with the accurately located counterbore on the back of the prop takes a significant piece of equipment and a fair modicum of skill, not something everyone has in their back pocket. All of which raises the question, "Why the bleep did APC design their props in such a bass-ackward manner?
I look forward to my elucidation.
Ohh, ohh, pick me, pick me! I can answer your question!!!
I don't even hardly fly powered planes, just started with C/L planes recently.
APC props are not the evil you think they are. What they are, is, able to be fit to a variety of shaft sizes. If you read the instructions, they tell you that if your shaft is smaller than the back counter bore bit bigger than the front hole, you drill out the front hole SMALLER than the back counter bore.
Essentially, you are doing this for clearance. The motor shaft doesn't need to touch the sides of the front hole at all. You then slip in your proper sized shaft adapter ring, and viola, a perfect (?) fit to a variety of shaft sizes (all the sizes of the adapter rings).
IF you happen to have a motor shaft larger in diameter than the back precision counter bore, then you must drill the prop out from the backside, using the counter bore as a pilot hole.
I don't relish doing this, but if I had to do it, I may be tempted to use the same size as the counter bore, drilling from the backside, then flip over and final drill to the bigger size.
In reality, I find that its rare that the counter bore is smaller than the shaft size used.
I hope this is understandable and helpful.
APC things did this way so that most people could just slip in a ring to the counter bore without doing any prop reaming at all, and also for their production needs. Not very evil, if you ask me, sort of clever, to effect one size fits many with minimum effort.

Regards,
Chris