LVC questions

[Gustav]

With LVC devices like the Li-saver that auto detect the no. of cells,do they simply set the cut-off voltage as a percentage of the plug in voltage?

What i want to know is with the Li-saver can i discharge a pack to 1/2 capacity,then unplug and plug back in and still have it cut-off at 3 volts per cell?Or could it detect a 1/2 discharged 8 cell pack as a 7 cell pack and allow it to overdischarge?

If that would be a problem,does anyone know of any good programmable external LVC where the plug in voltage wouldn't matter?