Duckie, "appear to work"?
Once again, the table doesn't lie to you. Either you make the balls or you don't. Either you aim right or you don't, either you aim right then execute in the allowable margin of error or you don't.
OF COURSE the margin of error allows for some wiggle room on the hit to simply make the ball. OF COURSE the larger the pocket is or the easier it takes balls the larger the margin of error is.
That applies for all shots taken.
The point of a system is does it help the shooter to get themselves aligned properly more often or not?
Assuming the shooter doesn't have a major deficiency in their stroke (or even if they do), getting lined up properly as the fist step BEFORE shooting should lead to a higher degree of pocketing makable shots.
So it has nothing to do with margin of error making it appear as if a system is working. The margin of error is there regardless. The question is does the system transfer to different tables equally well and the answer is yes. CTE for example works exceptionally well on tight pocket tables where the margin of error is quite a bit smaller.
I have used it on Chinese 8 Ball tables to make sick shots where the pockets are tiny and rounded and they use 2.25" pool balls.