If you are using a cast ball with the sprue, there is one consideration to think of. Lead shrinks as it cools and will draw lead from the sprue into the cavity. Sometimes there is not enough lead to draw in and a void can form. This void is always under the sprue and on the centerline of the ball. If you load sprue up, the ball will spin around the void maintaining a true flight without wobbling due to the void. The possible presence of a void is one reason to weigh the balls or load sprue up.
For most of us weighing the balls really don't help much for accuracy. If you want to consistently place your ball in the same spot on the target, then weighing the balls is a good practice.
When you start out casting, weighing the balls will inform you of how consistent you are in filling the mold. How consistent you are in keeping the mold halves together during the pour.
Look at the sprue on a cast round ball. If there is a dimple in the center of the sprue, it is likely that the ball has a void. If the top of the sprue is flat, then you have filled the mold. There can always be exceptions of course, but is the ball looks perfect from an external inspection, then it likely is good.