Here is what I do...I first have a look with the borescope to make certain it really needs the crown re-cut. I would like to have a $100 for every customer that heard some genius say how much more accurate a rifle will be if the crown is cut to 11 degrees.
Not all barrels need to be removed here as I have a gunsmith purpose designed lathe with a large thru hole in the head stock spindle. I also have a spider on the backside of the spindle so if the barrel is long enough I can almost not remove anything...you don't need high rpm to re-cut the crown.
Once cut, I always lap the muzzle and inspect again with a borescope to be certain I have removed all of any burr that might have been there. Getting a burr seems more like the steel used than the procedure, whichever the case it needs to go.
All this has proven to be a good practice. I also believe giving the customer exactly what he wants. Some want 90/0 degrees flat, some want 11 degrees bevel, some want recessed, some no. I occasionally get a guy that has been reading Obermeyer and wants a little 45 degree chamfer on the muzzle. I never argue, I take the money {usually around $40.00 to $80.00} and run.
Edit: Never ever use one of those tools that pilots in the muzzle and you turn it by hand. They may cut a good looking crown, but the absolute last thing you want to ever do to a barrel is put a piece of snug fitting tool steel into the rifling at the muzzle {last thing to touch the bullet before it leaves} and spin it, in a lathe or by hand. I look at these guys that use this tool and say to myself, "your kidding me right??? You clean the barrel with a muzzle protector or from the breech whenever possible so a soft plastic clad rod wont touch that muzzle rifling but you stick a hardened heat treated tool steel pilot in the rifling and spin it????" Dude...no!!!!! As to the carbide burr spinning in a drill pilotless...I think Remington has gone to that method!!!!