Bang,
What you are doing is actually not lapping, it's freshing a barrel. Not a new or unknown procedure. This was done by many gunmakers to do what it is called, freshing a partially worn barrel to extend its longevity. I have a rifling machine dating to the late 18th century and about 150 different freshing heads that were used with this machine. My theory is that barrels were not cheap or readily available so even small bore rifles were made out of larger than needed barrel blanks to give them the ability to fresh or drill out and re rifle barrels as needed.
Mark