In being asked to ‘watch’ a shot, to declare it fair or foul, most disagreements occur when assessing impacts with cue balls very close to object balls. I make it a practice to explain that primarily I’m focused on either a double hit or a push. Consistently players refer to 45 degrees to insure a good hit. I realize after reading the results of the Jacksonville Experiment and studying hi res images from Dr. Dave’s site that regardless of contact point on the cue ball, it will move ever so slightly forward before reacting to spin. Alternatively if it moves in the same direction with similar momentum more than expected (1-2mm), then rest assured I’ll call a foul. The 45 degree references a safe angle right or left from the line of the cue and object balls. Many believe 45 degrees down on the cue ball to be in this frame of reference and to be fair it is possible to develop a good hit at this position but usually ends up a foul. I worry I’m being too critical at times but I would rather see the league players expect a referee’s judgement to be similar to mine.