IMO, weighing cast balls can possibly help accuracy if we are speaking of making it slightly better.
This is especially true if we are talking about someone who is worried about a off center void inside the ball causing the ball to fly wide of the mark.
As anyone who has studied physics knows, a spinning object will revolve around its center of gravity.
In this case, gravity isn't exactly talking about the force that's holding our butts to our chair.
It is talking about the center of the objects mass.
Because the center of a roundballs mass cannot exist outside of the roundball, the rotation of the flying ball must be around some place inside the ball.
In a perfect ball without any voids inside of it, that center of gravity or mass will be right at the center of the ball. Can't do any better than that!
Just to take a worst case situation that can't possibly exist lets assume for the moment that somehow the rules of the universe vanish and the center of gravity is right on the outside surface of the ball when it is fired.
Very shortly after it leave the muzzle it will start spinning around this offset center of gravity.
Now, if this mythical ball is exactly 1/2 inch in diameter it will be revolving around a point that is exactly 1/4 inch from the balls center.
When it hits the target (or animal) it will poke a hole who's center is exactly 1/4 inch away from the place it is revolving around.
If this center of gravity or place the ball is rotating around is aimed exactly at the center of the target, the center of the hole the ball pokes will be only 1/4 of an inch off of the targets exact center.
Like I mentioned, if one is shooting in a target match this 1/4" might make the difference between winning and loosing but for the rest of us it really doesn't make enough difference to argue about.
This is why the Bevel Brothers test to determine if locating the ball with the sprue centered or off to one side when it was loaded didn't make any difference that they could measure.
Now, if we are talking about the effects of the actual "weight" or mass of the ball effecting where the ball hits, it can have a larger affect.
The weight or mass of the ball determines how effectively the powder burns and how rapidly the ball will loose velocity as it flys downrange.
Any variation in the velocity or in how fast the ball will loose that velocity can have a marked effect on where the ball will strike the target.
Target shooters will worry about this.
Shooters who shoot like I do don't need to worry too much about it. :grin:
Besides, it gives folks like me something to blame the poor shot on besides myself. :rotf: