Tip position is an input; the state of the ball when it reaches a collision determines what happens next. Distance, speed, cue elevation, cloth friction and contact thickness all matter. Build a measured reference instead of assigning a fixed rebound angle to each “tip” of spin.
Map the tip position before predicting the route
Squirt, swerve and cushion response still depend on cue, speed, cloth and delivery.
Follow, draw and a stop depend on impact
An above-centre hit can produce forward rotation; a below-centre hit can produce backspin. Cloth friction changes that rotation during travel. A ball initially struck below centre may still be rolling forward by the time it reaches the target. There is no universal distance at which all draw disappears.
On a straight full-ball contact, retained backspin can pull the cue ball back and forward roll can carry it forward. A stop requires approximately no forward/backward rotation at impact, together with an appropriate full contact. A centre-height stroke over a long gap is not automatically a stop shot. Cut shots have an additional sideways component.
Side spin changes more than the cushion
An off-centre stroke can send the cue ball initially away from the cue’s pointing line (squirt). With cue elevation and side spin, its sliding path can curve (swerve). Their combined effect depends on the setup; they do not automatically cancel at two metres. Ball-ball friction can also change the object-ball direction (throw).
At a cushion, compare the tangential surface motion with the cushion contact. Spin can exchange rotational and translational motion, changing the rebound and speed. Running or reverse labels do not specify a fixed number of degrees, and the collision does not create free energy.
Keep a margin from the miscue boundary
The cited spin reference describes a typical contact limit around half the ball radius. It is not a guaranteed safe circle or a universal “three tips” setting. Tip contact geometry, chalk, equipment and delivery affect reliability. Begin closer to centre and reduce offset if contacts become inconsistent; do not chase maximum spin as the goal of the exercise.
Three comparisons with useful records
First, use one unobstructed full-ball setup. Keep placement and speed as consistent as you can; compare centre, higher and lower contact. Record whether the cue ball follows, stops or draws, and its travel after collision. This tests impact state rather than a label on the tip.
Second, use one cushion approach with no intervening ball. Compare no side spin, modest left and modest right. Note the actual incoming contact as well as the rebound. If the cushion is hit in a different place, correct that first before attributing the entire change to rebound physics.
Third, save a three-cushion position in 3ball and compare one changed input through replay. Record the first point where routes diverge. Bring that question to the real table; the model supports comparison but cannot supply a universal correction for your cue and cloth.