Earlier quoted context omitted.
Huh? Not the way I understood it. Inertia implies the world is divided into cells numbered 1 to N, and people don’t move from X to X + 1 unless they report, say 5, consecutive times from X + 1. Overlapping systems remap the cells 1,2,3 to 1; 2,3,4 to 2 and so on. So if someone oscillated between new no. 1 and new no. 2, you’d still have no of knowing whether they were in old style cells no 2 or 3.
Inertia would just reduce the frequency of the jumps, not eliminate them completely. E.g. if you randomly get the new cell 6 times in a row you'll still oscillate, just slower.
It should be hysteresis, to jump to another cell you have to be pass some threshold of distance from it's border.
This way if you live on the border you will just stick to some of cells.