I said I would do a "careful analysis" after my vacation (I'm back), but I honestly don't think it is worth the effort (which would be significant and might involve many assumptions). Regardless, I think the "big picture" concepts are clear:
- for a given tip placement error (left/right of the desired tip contact point), the resulting squirt error is the same for an off-center hit (e.g., with inside) as compared to a center-ball hit.
- for small cut angles, the amount of throw will be larger for inside english shots, and this will cause errors if not compensated accurately.
- for larger cut angle shots, the amount of throw will be larger for center-ball shots, and this will cause errors if not compensated accurately.
- in general, throw is more consistent for small changes in tip position for inside english vs. center-ball shots; but if the amount of throw is not judged properly, there will still be errors.
Squirt, swerve, and throw effects are not simple, and they vary a lot with shot speed, shot distance, cue elevation, type and amount of spin, and conditions. For those interested in learning more, lots of info/videos/articles on this topic can be found here:
squirt, swerve, and throw effects resource page
Regards,
Dave