If I aim at the center of the pocket, and I aim to hit the center of the cue ball:
1. If my aim is true, and I hit the center of the cue ball, then the object ball will go into the center of the pocket.
2. If I miss the center of the cue ball slightly to the left, then the object ball will be thrown slightly to the right, and the object ball will go in the right side of the pocket.
3. If I miss the cue ball slightly to the right, then the object ball with be thrown slightly to the left, and the object ball will go in the left side of the pocket.
If I pick a side, say slightly to the right of the center of the cue ball, and I aim at the right side of the pocket to account for the throw to the left:
1. If my aim is true, and I hit slightly to the right of the center of the cue ball as planned, then because I was aiming at the right side of the pocket to account for the throw, the object ball will go in the center of the pocket.
2. If I hit center ball, there won't be any throw, and because I aimed at the right side of the pocket, the object ball will go straight in the right side of the pocket.
3. If I hit more to the right on the cue ball than I planned, then the object ball will be thrown more to the left, but because I was aiming at the right side of the pocket, the object ball will go in the left side of the pocket.
It doesn't matter how many tips "slightly" is from the center of the cue ball--you will have the same amount of error whether you try to hit center ball or you pick a side.