Is the smaller the bow door (width) of the slingshot, the more accurate?

From a physical point of view, the narrower the bow door, the better, because when you pull the bow, the line drawn by the narrow bow door is closer to a straight line, which makes it easier to estimate the trajectory of the slingshot and has better consistency in the stress direction.

In practice, when we aim at the target, we usually use a horizontal grip. When using the horizontal grip, the central point of the bow door is blocked by the rubber band, so we transfer this central point to the upper bow eye position and aim at the target as a reference point. But in fact, the steel ball flies from the middle point of the arch door below the upper arch eye, and the distance between the middle point of the arch door and the upper bow arm is an important factor that directly determines the distance between the reference point and the target, as shown in the figure below: