Core CTE (as it's taught by Hal) doesn't account for throw (shots that are all classified as thick/thin). CTE is a center-ball pocketing system; meaning, english is not part of the system.
However, you'll eventually get to the point with basic CTE where pivoting to center ball will make it impossible to pocket a "thin" shot (thin back-cuts, as an example). When this type of shot presents itself, one would either have to adjust his/her initial alignment or, as Hal used to do, pivot beyond center and impart outside english to counteract the collision induced throw.
So, it puts you into the pocket in a frictionless world. Same goes for banking. CTE is merely a baseline to figure in your many variables.
Hope this helps. As others have said, this topic is beat-up on this forum and most threads end in banishments, hard-feelings and cyber fist-fights. Maybe some others can give you good advice without others piling on. Good luck and best wishes-