So far, your reply best matches what I've been taught. However,...
My S&W Airweight is a five shot, .38., and my S&W .357 in stainless steel both have fluted cylinders. Of course, there are far more powerful handgun calibers.
I realize the fluting geometry differs between barrels and cylinders; but, if fluting makes a barrel more rigid, wouldn't it also make a cylinder stronger?
Fluted barrels dissipate heat better, by virtue of increased surface area. That's a great benefit, but I don't understand the logic of making a barrel lighter.
My AR-10T, .308, is very heavy, but I consider that a major plus.
________________________ A day without recoil is like a day without sunshine!