I agree, it makes little difference what bullet you use. But, how you break it in might! I have been shooting and "religiously" cleaning barrels for many years. Breaking in WAS a long and time consuming process. But now, I have been introduced to a much better way to not only break in a barrel, but saves you a whole lot of needless work and "stuff" to clean with.
A fine barrel maker gave this to my 'smith and I have been following it and have absolutely NO degradation of accuracy. May even be better!
To break in a barrel; pull a bore snake through with oil on it to "wet" the bore. Never shoot a dry bore. By the way, fouling is wetting the barrel.
So to continue break in, shoot five , pull one. That "pull one" is to drop the weight of a bore snake down to barrel from the chamber end, squirt 7 or so drops of oil down it and pull through. Repeat 5 times. After that, pull when ever you want. I have gone a hundred or so before I do it. Again, I have not observed any loss of accuracy.
Think about benchrest shooters. They scrub the dickens out of a barrel, but then shoot it several times to foul it before going to the record target! The fouling is "wetting " the barrel. I haven't been to a benchrest shoot in a while, but I wonder if they are doing this now. No more patches and brushes to use but once ,maybe, after a year of lots of shooting. Easy peasy.