Badger Arms: Do a Search for "Gale McMillan+fluting" for some comments from somebody who probably knew more about barrels than anybody now posting to TFL.
You are probably correct, though Badger Arms seemed to get the basics presented accurately.
For a given diameter, fluting can't increase strength, but it can decrease weight and increase surface area. If you make a larger diameter fluted barrel that weighs the same as a smaller diameter solid one, it can have better cooling and increased strength.
Aw, I think the basic facts have been correctly presented here--three or four times. I have a slightly-raised eyebrow about "inherently more accurate", however.
Lemme say I'd agree that on paper, in theory, fluting is a Good Thing. That is, a perfectly made, stress relieved fluted barrel could well be more accurate than a round barrel of equal weight--it's stiffer.
In the actual production, however, a very small amount of difference in the height of a "fin" (as measured from the centerline of the bore) would cause differential elongation of that particular fin--and thus some slight curving of the barrel. It just strikes me that there is a bit too much chance for error during manufacture. Damfino.
So I don't argue against "in theory" so much as wonder about "production in the real world". Two different things.
And that carries me back to my first comment, early on.