I personally would not be interested in shooting a 11# Chey-Tac.
For these rifles that shoot the 300gr or heavier bullets, I would want to be in the 14# range or heavier. So, with that said, I don't see the advantage of a short/ light action in these calibers.
It's more than a few ounces in BALANCE, as the barrel is moved further forward.
I know, grossly heavy, imbalanced, & white metal guns are all the rage today...
But tomorrow things likely go full circle back to reality.
A few extra ounces on any one component won't make much of a difference...but a few extra ounces on all the components sure will add up fast.
And for me, its also about overall length, as previously mentioned a longer barrel is preferable, but I don't want the rifle getting too unwieldly long....for the definition of unwieldly long quickly look up the length of a standard short action built around a .308, then look up the length of an action built to cycle loaded .408 ammo