One little tid bit about CTE that might help shed some light: the starting tip offset should not matter. You can slide in with a 1/2 tip offset like Pro1/CTE, or slide in 1/2 ball offset like the hybrid system I describe, or somewhere else if you prefer. So long as the initial setup is correct, the pivot will take you to the same shot line.
Maybe a way to help understand this is to reverse-engineer it. Start with the cue tip at center cue ball on the shot line and pivot away from center. Stop anywhere you like: 1/2 tip offset, 1/2 ball offset, or elsewhere. No matter where you stop, you can pivot the cue right back to center.
Wherever you decide your starting tip offset is, you need to learn how to slide in correctly for that offset. That comes with practice. The Pro1/CTE 1/2 tip offset minimizes the pivot, which is the hardest part of the system. This also makes for more reference lines and starting tip placements to recognize. The 1/2 ball offset uses the exact same pivot for any shot on the table, and only requires 6 reference lines. However, the pivot is longer so there is more to go wrong on the hardest part. Both systems accomplish the same thing with different approaches.