I am not in front of my computer and I cannot see the schematic so maybe I am completly wrong. Basically what it is done here is simply an LDO because an LDO is just a PMOS in the linear region. In this case is constant current. Power dissipation will be high for sure. I need to calculate if it is doable.This seems a bit crazy
Perhaps some sort of SMPS current source that you can control at a modest level until the min cell voltage reaches your threshold? More complex, but a tiny fraction of the thermal challenge.