I can make a couple of observations. After a several hour drive, the climate power drops to somethin like 1 kW. But the amount of heat that I get seems highly dependent on the fan. If the fan is turned low, the amount of heat is minimal, and the power draw is low. In a way this sort of makes sense - as the heating element gets warmer, the resistance goes up and the amount of heat goes down. So with low airflow, the heating element will get relatively warm, but the heat won't be blown into the cabin.
With a higher fan setting, cooler air gets blown across the heating element, which cools it and reduces the resistance, and increases the current draw.