Richard, you still don't understand that one cannot in principle reposition correlated points of a continuum without begging dependence on a privileged coordinate system. If no such system (by coordinate free geometry) exists, we will know it by finding at least one point outside the correlated points -- and guess where that is? -- it's in your choice of coordinates. Therefore, when a pair of initial conditions is simultaneously considered on orthogonal axes that would conventionally be considered a point of entangled particles, at least one endpoint of the 2 linear correlations is compelled to reverse trajectory.
Again, comparing this phenomenon to billiards, you can take your arbitrary "ball in hand" penalty shot and place it anywhere on the table, and the quantum correlated results will be same every time from every initial condition, because unless one can eliminate dependence on detector settings the results of every discrete measure will exist in linear superposition and not as real elements of the measurement function.
Therefore, the location of the point at infinity is equivalent to observer created reality -- as if every time one makes a measurement in one direction, nature (that is, the structure of space) takes a ball-in-hand shot and relocates the cue ball on the table.
Probabilists says this happens randomly ("god plays dice") -- however, unless the observer were actually in the same position as the relocated ball, one could not claim randomness, because that point will always lie outside the bounds of the probabilistic space used to predict the correlation between your shot and where you expected the cue ball to end up (it's nonlocal). That is, your shot is always a "scratch," the cue ball ends up in a pocket, so that your opponent gets to place the cue ball anywhere she pleases for the next shot. The measurement you record is where your object ball ended up, yet that measurement is incomplete, because you missed; a complete measure has to include your shot and the next shot, because your shot didn't count. The next shot is nature's.
In Bell-Aspect experiments, you are playing against yourself. You shoot, scratch, shoot, scratch ... creating an illusion that no shot counts more than half the time. Thinking you can do better, you get a partner to cooperate with you and find that a quarter of the time you can make a shot without scratching. That's the best you can do. That's the CHSH result.
Nature, however, never misses, never scratches. Your missed shot, plus the next shot (nature's) tells us the true state of the space that determines where the object ball will end up. That's Joy Christian's result.
