I don't think I am getting through. The OP asked about loading a Model 1863 rifle-musket. The answers have been either inaccurate or refer to loading other types of weapons.
The smoothbore muskets were loaded by tearing the cartridge, dumping the powder down the barrel, then ramming the whole cartridge including the ball. The balls were small enough to fit that way, and the paper helped reduce the "windage" between the bullet and the bore. Percussion revolvers and some other weapons, like the Sharps, used combustible cartridges that went into the chamber and burned up in firing.
But the Model 1855 and succeeding rifle-muskets were loaded by tearing the paper tail (usually with the teeth) or breaking the cartridge over the muzzle, dumping the powder down the barrel, then pinching the bullet out of the paper and inserting it in the muzzle, ready for ramming. No part of the paper cartridge went into the barrel and if the Minie ball is the proper size there won't be room for paper between the bullet and the barrel.
I suppose someone could use thin paper and somehow drive the whole cartridge down the barrel, but that is not the way it was done. Some folks even use smaller .54 caliber Minie balls or round balls and cloth patches, sort of like an old "Kentucky" rifle, but that is not the proper way to load the Model 1863 Springfield rifle-musket the OP mentions.
If the original way is too slow or not worth the bother, I recommend those plastic tubes. They work well but require a different loading procedure.
Jim