I think what they mean is you loosen the two allen screws and you can twisted its pivot so that the anti skating dial is facing a slightly different direction, and that will change the auto shut-off position.
If so, how do I figure out what is the correct adjustment to make?
Please read post #18:
And this is exactly what happened with me. I owned my table since new and while I went through many cartridges never was the VTA messed with. The auto stop always worked. I took mine to a shop to mount a new Ortofon and they adjusted the VTA (incorrectly as it turns out but that is another story) and even after I corrected their misalignment and got it to track properly the auto-stop ceased to work. I could tell that while the tonearm base was going up and down to correct the VTA it was also rotating somewhat and I am sure that was messing with the auto-stop. You are correct about how finicky this was to get back, and I hope it stays fixed now that it appears to be working properly again. Minute movement of the pieces, totally imperceptible to me, and a lot of trial-and-error. I am leaving well enough alone now.
Trial-and-error until you get it working properly again. Good luck!