Is the power really being cut off there? To my knowledge, there is a contactor in the heat pump that has to be connected separately, and the signal from the energy supplier is given through it. So the heat pump should remain on (turning off the heat pump every day is not good for it either), but it cannot heat.
The heating element could theoretically be connected to the other meter and operated with household electricity; usually, I think there is only one control signal from the heat pump, and it receives power directly from the distribution board.
By the way: For us, the savings with 3000kWh annually for the heat pump would have been just 2-3€ per month. We would never have recouped the extra effort...