The primary advantage is in the manufacturing process. You can have one inventory of rifle barrel and have an assortment of breeches, right and left, percussion and flintlock. For the shooter, the ball will be stopped above the flash channel so powder can be added to remove a ball loaded without the benefit of a powder charge.
Let's look at several styles of breech configurations.
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The chambered breech has a smaller than bore diameter chamber that is threaded to the rifled barrel. Care must be taken while shooting to prevent fouling residue from entering the chamber and blocking the flash channel. This can be done with a jag custom fit to the chamber or a brush that is the size of the chamber to pull out the fouling.
Below the chambered breech is the Modified Nock's Patent Breech. It was designed to allow a small amount of powder to enter the smaller chamber by the flash channel. On ignition, the smaller chamber ignited sending a forceful jet of hot gas into the powder charge for faster ignition of the powder charge and that pressure kept the breech fouling to a minimum. This meant less wiping of the bore to remove fouling and also reduced the need to wipe the bore. Very important to shooters of fowling guns as they were reloaded often during a hunt and needed reliable ignition.
The CVA/Traditions style breech is designed to have extended threads of the touch hole with liner extend through the breech plug and lock the breech plug in place. The breech plug is drilled to form the powder chamber in the breech plug and connect to the flash channel.
There is no chamber in the traditional breech. The flash channel/touch hole connects directly into the barrel and the powder charge. In this case, we can use a vent pick to keep the touch hole clear of fouling and we can wipe the bore between shots to keep the condition of the barrel consistent from shot to shot.