A VERY good question because it concerns everybody who is considering lapping a barrel.
The answer is: The gun will shoot better with standard jacketed after lapping than beore lapping IF CYLINDER THROATS ARE NOT ENLARGED! If cylinder throats are enlarges as part of the process, accuracy will fall off some and possibly quite a bit., because, if a bullet is allowed to tip at all on takeoff, it will remain tipped all the way to the target. The forcing cone and barrel cannot straighten them out no matter how they are configured.
You will not be opening up throat on this Redhawk because they are already large and letting jacketed bullets to tip . But the tipped bullets are hitting a rough bore, choked at the start and looser as they travel.. Oh yes. Accuracy will improove with lapping, but it won't be as good as a revolver with cylinder throats which hugged the jacketed bullets tightly and a barrel that was perfectly true and hugged them also. But you can't buy a gun like that, so I tell people how to fix what we can buy.
Now, if you would just stoop so low as to start casting your own, and order up a mold from LBT, lube etc, that Redhawk which you want to shoot so badly would be capable of at least 2 inch groups at 100 yards and possibly an inch at 100 yards, but the shooter does have to point the gun in EXACTLY the same general direction before fanning the hammer!