Coning is not done to improve accuracy. Its done to ease loading a PRB, so you don't have to carry or use a Short starter,like you must with a target barrel and flat crown. The guns with the false muzzles were designed to seat concical bullets into the barrel so that the bullets were centered and straight in line with the bore. This is essential for best accuracy shooting bullets.
In modern target shooting, the throats of the target rifle barrels are specially cut and shaped to match the ogive of the bullet, and the bullet is seated out into the throat where it either makes full contact, or is purposely keep a few fractions of an inch back form contact, so that the bullet is released from the neck of the casing before it slams into the rifling.
There are two different schools of thought on this suject, as there are concerning accuracy in guns in general. The idea is to not have an undersized neck of a casing tilt the bullet away form exact alignment with the bore, so that it enters the barrel evenly on all sides.
The Black powder cartridge guys will even leave the casing with the mouth expanded, so that the expanded rim will clean crud out of the chamber when the cartridge is loaded, and center the bullet with the bore when the cartridge is seated in the chamber, fully. You can't do this with repeater rifles, but its a great technique for single shots.
Coning a muzzle loading barrel does help the Patch and round ball gradually seat themselves in the center of the bore, and helps prevent any tearing or stretching of the cloth patch by rifling at the muzzle. There is less distortion of the shape of the round Ball as its being loaded, since you don't have to give it a hard hit with your short starter to get it into the barrel. All these little things contributes to consistent, shot after shot accuracy, but accuracy depends on the powder charge, choice of powder, thickness of patch, choice of lube, uniformity of ball weight, the absense of voids, air pockets, dimples, etc. in the ball, the Rate of Twist of the rifling, the length and condition of the barrel, and dozens of more things. Eliminating any of these variables is going to contribute to accuracy. Coning the barrel shortens the reloading process and lightens that bag of gear not needed. Those reasons, and the others i have mentioned are enough to justify coning a hunting rifle.
The rebated muzzle on the new T/C barrels is to help you start their maxiballs, Not PRB. In fact, if you try to put a PRB in them using precut patches, you may have trouble keeping the ball centered in the patching. It would be better to use a strip of lubed patch material, and cut the patch at the muzzle in one of these guns. Or, cut the muzzle off to eliminate the chamber altogether.