No and Yes.
A felon can possess an "antique firearm". under North Carolina law This would include certain muzzleloaders and exclude others (e.g. those with exchangeable barrels).
Here is the definition of an "antique firearm":
An "antique firearm" is one that was manufactured on or before 1898 and includes any firearm with a matchlock, flintlock, percussion cap, or similar ignition system, or a replica thereof if the replica is not designed or redesigned for using rimfire or conventional centerfire fixed ammunition. It also includes any muzzle loading rifle, muzzle loading shotgun, or muzzle loading pistol, which is designed to use black powder substitute, and which cannot use fixed ammunition. N.C. Gen. Stat. § 14-409(a) The term "antique firearm" shall not include any weapon which incorporates a firearm frame or receiver; is converted into a muzzle loading weapon; or is a muzzle loading weapon that can be readily converted to fire fixed ammunition by replacing the barrel, bolt, breechlock, or any combination thereof."
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