Actually what is supposed to happen, with a constant diameter arbor like Pietta uses, is the arbor should bottom out in the barrel at the same time the barrel lug meets the frame. The wedge if it is properly designed, which Pietta's is not should be used only to lock the barrel onto the frame. Most of the time Pietta gets the arbor length correct. When they do not and the arbor is short the barrel can be forced further onto the arbor putting undue stress on parts and closing up the barrel/cylinder gap. The misconception is that this is the way it is supposed to be. It is not it is a flaw in the construction and should be corrected.
Now we get to the wedge. Pietta has totaly screwed this up. Pietta wedges are tapered on the side facing the muzzle for the entire length. On the side facing the cylinder they are sometimes tapered the entire length and sometimes only the last quarter inch is tapered. The end of the wedge slot in the arbor, towards the muzzle is at 90 degrees to the outside diameter. With this arrangement there is unequal pressure on both sides of the barrel slot and the wedge can only contact the top inboard corner of the arbor slot.
A properly designed wedge and arbor slot, like Uberti and Colt use/d is like this. The wedge on the edge towards the cylinder is exactly parralel to the centerline of the wedge ie: no taper. On the edge towards the muzzle it is tapered to correspond to a like taper in the end of the arbor slot, as I recall the fall is about .008 in .100. With this the wedge exerts equal pressure on both sides of the barrel and makes contact with the arbor across its entire diameter. It only needs finger pressure to push it into contact and a light tap to solidly lock it in place and a light tap to release it.
Wedges have been used to lock things in place since ancient times and it just befuddles me that Pietta could screw something so simple up. It's fixable and not really hard but why should you have to.
The misconception that this is the way it is supposed to be just because it came that way from the factory is just, well, wrong.
Once again the wedge is only to hold the barrel on, nothing else. If it is a Pietta, fix it. If the arbor is too short, fix it. If, once those are fixed, the b/c gap is too close take a small amount off the back of the barrel. If it is too wide take a small amount off the face of the barrel lug where it meets the frame. That is the correct way to do it.