This is the crux of the CTE controversy. I've explained this multiple times on many threads (the best of my own ability any way), and I'll go ahead and put it here again.
So, question is: how can the same visual pocket a range of angles? If you take the system to the table and actually test it (BTW it takes some acclimation for your eyes/body to "get" the visuals, maybe a couple weeks of effort at first), you will see that what happens is for every CB/OB position, there is a unique physical ball address. So even though VISUALLY the shots use the same alignments, PHYSICALLY they differ ever so slightly. If you watch the YouTube videos Stan posted with the 5 different shots with same visuals, he clearly indicates how his physical alignment at ball address is different for each and every shot. Stan calls this "visual intelligence." It is easy to verify when lining up a visual for a specific shot on the table, the physical ball address is unique every time. Followed by a proper pivot/sweep (again, VISUALLY the same, body follows what the eyes see), you will find the shot line.
So to recap, VISUALLY the alignments/sweeps are obtained the exact same way, but PHYSICALLY our ball address alignments are unique for each and every shot. The way this all tallies up: the placement of the CB/OB on a flat surface with pockets that meet at exactly 90 deg angles affect how our eyes see the visuals, and ultimately affect our physical head/body alignment at ball address. You don't have to think about any of this, you just line up on A/B/C and do a L/R sweep.
Your visual intelligence figures this out given some practice time. When you line up A/B/C and CTEL EXACTLY, the physical ball address is always unique. Ever so slightly, but unique.
That is about all I know. I know its not a perfect explanation, but at the table it is not hard to get it clicking and verify that it works. When you start covering parts of the table with curtains to force yourself to pay attention to CB/OB alignment, it becomes even more clear that it does work.