See didn’t know that :). Only that we are crazy in Germany not to put any ACs etc into our houses. I mean I don’t complain about my heating system. My house uses water based floor heating. I love it. Newest trend is to put it in the ceiling because the floor radiation tends to reach only the legs or some people feel it that way. But the summers can be rough.
The latest trend is to change your underfloor heating to a air-to-water heatpump system. In theory that can be used to heat and cool. They can also achieve very high SCOP values, meaning you need less energy. Air-to-air heatpumps (aircons that can heat and cool) have the downside that in heating, they disturb the boundary layer around a person, so the perceived temperature is lower. They also have a much more limited SCOP range - mostly because the delta temperature has to be higher.
Edit: I forgot to mention - in some countries installing a heatpump that can also cool does not qualify for government subsidies - so many of them don't have that feature. This seems like a really short-sighted decision IMO.
Yes your last edit is also a thing that baffles me. Heat pumps abilities are mainly advertised with heating applications. That they can run in reverse is too often missing.
