My previous car (1994) had automated self-adjusters as well. It consisted of a cable running from the hand lever to a brake balancer, (which is just an Isosceles triangle,) two cables running from that to each self-adjuster inside the drum. Each cable had a housing and the housing had mount points. The self adjusters didn't rely on you doing a hard-brake in reverse, but could adjust tighter because the vehicle would keep rolling for a longer distance after the front locks up.
I had to routinely warn people not to mess with the hand brake cable because this threw the entire system out of calibration meaning, they'd have to constantly mess with it forever after. Once it was set at the factory, there was never a reason to mess with the cables. (cable stretch was a non-issue) If a mount broke, it would change the effective distance between hand brake and drum, but then you'd just fix the mount. When I eventually ran into the problem myself, I discovered that the self-adjusters inside the drums, had teeth that were gradually worn/stripped/eroded away. The fix there was to merely replace the self-adjusters. I elected to enhance the profile of the existing teeth, which gave me a few more years out of them. All in all and again, there was never a valid reason to mess with the cable at the hand brake and in fact, was counterproductive in the long run.
Don't know whether that's the case here because I haven't looked to see how our system is setup. But it's something to keep in mind if we find similarities.