Paper cartridges themselves, as opposed to loose powder in the chamber, really ought not impact accuracy, unless they are not igniting. Ball seating depth may be an issue. The sweet spot for accuracy and reasonable velocity with ball tends to be in the 23 - 28 grs 3F range, although full 30 grain loads can also work well in many revolvers. In my experience, for CAS, Bugler cigarette papers filled 21 grs 3F topped up with corn meal, covered with a thin card wad and a dab of lube such that the ball seats 1/8" - 1/10th" below the chamber mouth works just fine. During a session where I may shoot 6-7 cylinders in each pistol, I find there will indeed be unburnt paper in the cylinders, but I have never had a failure to ignite due to paper residue. Every 2-3 cylinders when loading the next, a 45 cal bronze brush down the cylinder before popping in the next paper cartridge suffices to get it out.
The issue that many seem to have is that they fold the bottom of the cartridge or leave a tail. This creates a substantial barrier between nipple and powder inhibiting ignition. There are two ways to avoid this. First, by using a tapered dowel that is undersized relative to the nipple end of the chamber, when the ball and cartridge are rammed home, the cartridge will rupture, leaving loose powder open to cap ignition. However, if one is using a fold or leaving a tail, there will be a build up of unburnt paper in front of the cap. To avoid this, after twisting the bottom of the cartridge shut, the trick is to cut the tail off close to the twist, but not so close that it untwists. The bottom of the cartridge is then rather fragile. To protect the end, with the paper still on the dowel, push it into a spent 45acp case and slide the empty paper cartridge off the dowel such that the paper tube is now sitting in the 45 acp case. Fill with powder, filler, card wad, dollop of lube, twist top shut and cut off tail. You now have a paper cartridge with a fragile base protected by the 45 acp brass in which it is conveniently and securely stored. At loading, simply lift out and drop into chamber. As it is seated, along with the ball, the fragile base will rupture, exposing powder directly to the nipple entrance to the chamber, ensuring ignition and avoiding paper build up in front of the flash hole.
Use of the 45 acp brass to hold the cartridges is convenient, keeps them secure, and greatly facilitates loading. A full tray of paper tubes seated in 45 acp brass simply wants the appropriate dipper of powder and filler (if used) dropped in, a card popped on top and pushed in with the dowel (a .450" card should do nicely), and then a dollop of lube, twist the top and clip the tail.