Moment of Inertia is a function of overall weight distribution rather than where the centre of gravity sits because the weight is not evenly distributed along the gun. Whether or not this matters depends to an extent on the shooter's physical build. Although I work out and keep fit and strong, I'm very slim. I've found that a gun weight of 8lbs+ with fairly light barrels and a slight forward weight bias seems to suit me. I don't get on with Krieghoffs for example as I find even with the SS it's difficult to stabilise the muzzles for a quick second shot - and I'm not alone with that problem either! The best guns for me seem to be standard F3s, F16s (with some added weight) and almost any CG, but absolute fave is the High Tech Sporter. All have relatively heavy actions and fairly light barrels and, within reason, I'm not much bothered where they balance as long it's around mid way between my hands.