Getting the open job to center is going to depend on the gun as well as the man doing the job. Thing about a lot if not most nice doubles is they were hand filed outside after the bores were choked and finished. Hand work they are not always true outside to inside muzzle to breech.
To be concentric at the muzzle spot you index your lap or reamer would have to be concentric with the muzzle. Filer or the man that choked the gun did not take that into consideration when finishing the barrels. 
Other factor is how the finished job is going to look at the muzzle. Have two Parker VH's both factory choked. One is .040 and .033 other is .019 & .014  If you look at the muzzles it's almost impossible  to tell one barrel from the other. Reason is the barrels were filed to finish and Parker was looking for a certain thickness at the muzzle. If the tight choked gun was opened to match the open choked gun result would be paper thin muzzles.
Case in point good gun shop near me has hundreds of vintage doubles. You can go down the racks and spot the poor open jobs easily and there are a lot of them.  He prices the guns accordingly.
There are shops that can do the job and do it well, some of the best will refuse a job if on inspection they think it's not going to be sucessful It's a personal choice and have no argument with anyone that wants to alter chokes or has had good choke jobs done. Just consider the altered resale value, cost of the work. risk it's not going to come out right vs the cost of buying another gun choked like you want.
Boats
Last edited by Boats; 09/09/15 08:28 AM.