I think the compressor does Heat and Cold. like a heat pump...
It will produce heat and cold if the batteries have enough charge, Like at a stop light, etc...
But the ICE will come on and heat like a regular car.. to heat the cabin, and if there is battery power... It will shut down and let the heat pump take over, until the battery level drops to 3 bars... then kick on again...
So the heat is the ICE and the battery powered Heat pump ( A/C also )