Boyd L.
Witty comment under development
I understand the question wasn't directed to me, but what the heck....it's a public forum....OK, you are saying that I can get GOOD accuracy out of a new barrel pinned to my 581?

The accuracy potential is as good as the quality of the barrel, crown, chamber, and precision of fitment.
I have a "retired" 40-X standard barrel pinned to a 581. I also have a 581 threaded 3/4-16 tpi with an Anschutz barrel. While both shoot minute-of-chicken, I wouldn't have either method done again. Loc-tite using a tight slip-fit with a cone breach (while you're set up in the lathe & no longer have a mill) would get you started.