Problem with that reamer set up it indexes with a bushing on the inside of a barrel that was bent to regulate. Depending on a possibly crooked tube to run the reamer straight is a recipe for muzzles not concentric. Some barrels may be straight others bent a fair amount to regulate. Your eye can see a thousandth or two out of round on the reamed muzzle easily.
No good rifle-smith would ream chambers without dialing in the barrel true from the inside on a bushed rod checked both inboard and outboard of the lathes headstock. Then running the reamer in the lathes tailstock that’s perfectly in line with the bore. May well turn the finish reamer by hand with the lathe out of gear, its still held in perfect alignment.
Shotgun muzzle no different than a rifle chamber except a factory machine made single barrel is usually straight and no regulation issues to consider. Hand regulated double very different situation .
William
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