You certainly don’t save that much. There is still screed, insulation at least on the bottom as well. You don’t save the heating circuit distributor. For that, you need a larger heat pump with heating circuits.
And if you then calculate half a square meter lost for each heating circuit (and theoretically would have to build larger for the same living value), then another €10,000 quickly gets added to the bill.
Better save on the buffer and get exempted from the ERRs. That also quickly saves €3,000-4,000. How to do that is explained in numerous threads here.