I use strike plate and rest material to move POI, after tuning for good arrow flight. If I want to move the POI to the right or down (for a RH shooter) I use a softer strike plate or rest material. If I want to move the POI to the left or up, I use a harder material. Some of the softer material that I use, such as a Martin Rug Rest or strike plate, is thicker than some of the harder material, such as leather. In this case, the thickness really doesn't matter, as the rug compresses to about the same thickness as the leather when the arrow is shot.
If I want to move the strike plate in or out, I will build up layers of leather and then put a different strike plate on top as the last layer, if desired. The only reason I have ever done this is to put one of the ultra thin arrows in the same center shot position as my normal diameter arrows.
Leather is the hardest material I use, followed by Velcro, followed by rug. If I have a new bow and have tuned an arrow to fly well, but it hits right or left at 20 yards, it is convenient to be able to adjust the POI by a few inches without affecting the arrow flight. Of course, trajectory at longer distances is affected by the cast of the bow, and one must adjust for that by aiming differently.