Well, since no energy enters the house, you’re not really consuming anything. Just the maximum 20 euros per year for the control valves on the heating circuit distributor, and if the heating runs continuously, you only pay 15 euros for the electricity for the valves. So it’s not that drastic.
You have a small misconception.
You think you could control something with the thermostats in the rooms. That’s not the case; they are more decoration on the wall and an emergency brake, provided the heating system is adequately sized and optimally adjusted.