And I also feel that guys who think a couple ounces of imbalance are the reason for poor shooting are probably fooling themselves.
On average, shooters can detect 4 oz of weight change; not the same as guessing a gun's weight within 4 oz. A balance location shift is usually noticed at 1/4" shift; first sign of unsuitable balance is moving front hand after mounting. Unmounted swing effort change is usually detected at about 0.20 and mounted at about 0.50.
If that 2 oz is at the extreme ends, it may matter.
DDZ