A question for PJ or others:
In addition to distance-to-pocket, does cut angle effect the margin of error?
It seems to me that a thin 70-degree cut shot has a smaller margin of error than a 15-degree cut shot.
If so, then total-margin-of-error is distance-to-pocket times cut angle, if you're so inclined. Again, useless information but so is 99% anything having to do with numbers. But it's fun to think about.
PJ and/or Dr Dave may chime in here with more definitive responses, but I think the answer to your question as to whether the margin of error is altered by the cut angle is a definite yes.
CIT (Collision or Cut Induced Throw) varies with the cut angle BUT it can be altered by several factors so it's quite a subject to study.
EagleMan