I'm just throwing this out there....
I would like to see some curtain shots on a table where the user isn't familiar with the layout so much. Either an English pool table or a snooker table if that could be done. English pool table has a 1/8 smaller CB, so that isn't doable unless someone has a 2" CB. Or if a CTE user has access to a snooker table and a curtain id like to see some shots. Nothing spectacular, blue off the spot, CB a couple of feet away in to a corner. If a person not familiar with playing on a snooker table can make curtain shots as I've mentioned, that should be proof enough that CTE does in fact connect a player to centre pocket on a 2x1 table.
Most English 8 ball sets come with a 2" same size CB included. Mine has, and I have a smaller CB in addition.
Anyway, my main reason for replying is that executing some nice curtain shots is only proof that the player is good at finding the aim required, not proof of all aspects claimed by proponents of the system.
What would be proof, is to have one player observe the table to determine which visual and sweep is required. Then cover up all the rails and alter the rail being leaned over, as it can provide a guide to pocket position. Then have another player, who has been told the visual and sweep requirement, come in and execute the shot. Then move the CB around a few inches side to side, within the same visual and sweep and see how well it works.
Just knowing the visual and sweep puts a player within several degrees, so pots wouldn't be a long way off, but this would settle whether or not players are intuitively predicting pocket position.
I know I play shots where I only reference the rail, not the pocket when aiming the shot. e.g Long 3/4 ball rail shots, with CB a foot or so from the OB and the OB within 4 inches of the rail. A curtain would make no difference to me on those shots.
Obviously my imagined scenario above would be quite difficult to set up, but it would all but rule out intuitive estimation of the pot angle.
FWIW: I don't think the laser comparison holds up well. We practice potting balls to pockets hundreds of thousands of times, rarely do we try to point anything directly to a pocket, and when we do, we have the pocket as a reference.
What we do have proof of, is that some people find these systems a much better way to aim for them, and that some very good players are proponents. The rest is pretty much speculation at this stage. Time will tell its value, and perhaps provide proofs and disproofs of various beliefs.
I'm sure the system has values and wish the dedicated proponents luck with it.