Visualizing the balls as horizontal sections through the equator basically reduces the 3D problem to 2D, and casts the aiming problem as that seen in carom pool (that game played on a wooden board with discs instead of balls). Is aiming easier in carom pool compared to regular pool? I would say yes. Furthermore, if you are writing code for aiming problem calculations, the initial step is to ignore the spherical nature of the pool balls, and treat them as discs. So, for those who can actually see past the spherical nature of the balls and visualize them as equatorial discs, there may be a real advantage in aiming.