5sdad,
That sounds like it would be at least as effective as any other break-in method.
I'm still using the method arrived at years ago, except for one addition: Clean the barrel in any rifle new to me, then shoot it until there's some indication it might need cleaning again.
The addition: If the barrel copper-fouls badly from the get-go, clean it throughly and install Dyna Bore-Coat.
John,
I just cut to the chase, and do that on all of them before they leave the house for the first time