Which heating system for a new single-family house

You cannot compare the ventilation in the car. It is somewhat coarse. You have to compare a chimney with a campfire.

You don't even notice the ventilation in the house. You have to put your hand on the outlet. The air volume flow is currently 170 cubic meters per hour, which is almost exactly 1/3 of the total volume. Supply air 34 degrees Room temperature 22 degrees In the bathroom 25 degrees Without electric reheaters. However, the 3 water-based radiators are running at 35 degrees flow temperature Should snow tonight

Why inhomogeneous? All rooms have the same temperature except the bathroom. There are no cold and warm areas

@TE I do not have a Proxon air-to-air heat pump Despite passive house, it is an air-to-water heat pump only without underfloor heating.

Despite the passive house, it is an air-water heat pump only without underfloor heating.

Then it would be an air-air heat pump, or do you have heating surfaces besides the ventilation heating? Is the heat source exhaust air or outdoor air?

What is your annual electricity consumption for heating?

Google for LWZ 604 air or TCO 2.5

A field trial system has been running here for 14 months now and has gone through almost all teething problems.

Google for LWZ 604 air or TCO 2.5

I find little about the structure, mostly marketing blah blah. For exhaust rooms, a water-carrying heating surface is necessary or recommended. This reduces the savings on purchase, and that is what an air-to-air heating system is about. The possibly lower efficiency is acceptable in passive houses. The manufacturer states suitability up to a heating load of 10 W/m2, usually a KfW40 house is well above that: either it stays cold when the compressor no longer delivers power and it is reheated purely electrically even at mild temperatures, or in the best case the coefficient of performance just decreases due to the higher heating temperatures. Stiebel heat pumps generally do not stand out particularly negatively, at least that is my impression from forums and consumption data. That may be because they are not deliberately installed in the wrong house. The heating system #1 mentioned in the initial post, on the other hand, stands out in forums mainly for poor service and exorbitant consumption caused by complete misplanning. I stick to my opinion and strongly advise against an air heating system, unless as a builder you know exactly what you are doing.

So since about October it has been running relatively stable even though updates are still coming. The hardware and software basis is the 504. It is not and never was cold. The compressor was sufficient for us even at double-digit below zero temperatures. It is a nice even warmth. Not comparable to a car heater. The water-based heating circuit is intended for underfloor heating in the bathroom or in open floor plans in the overflow rooms but is not necessary.

The most important thing is that a somewhat meaningful consumption value should be available at the end of the next heating period. Major errors are eliminated.