KFW40 house with 10 kW wood stove: too large or ok?

Even as an air conditioner, the air source heat pump is a joke... It's supposed to have 800 watts cooling capacity.
A forgotten triple-glazed window on the summer south side and the house is roasting hot.
The consideration is to install a normal split air conditioner in our place.

I can't say anything about air source heat pumps, we have the Daikin split air conditioner installed solely for cooling and it does that great.
That it is sometimes also used for heating is rather a nice bonus.
Thanks a lot for the other detailed info. Actually, the magnetic fans on the chimney pipe work quite well. We have not implemented the probably even more effective ceiling variant yet because it's not really a problem for us or we can handle it well; especially also because we have a fancy chandelier and the propeller next to it would not look so good.
But good to know that it works and how, thanks!

If at all with underfloor heating, then I would take a rather low-power stove, since this is used more for optical or comfort reasons and not for heating. You have your desired temperature continuously set on the underfloor heating and any temperature increase then moves you away from this, and the more heating power the stove has, the further you move away from your comfortably set underfloor heating temperature.
I can only fully agree with , as I already experienced this effect with underfloor heating when it was briefly warmer outside in spring.

Our house is open and about 130 sqm over two levels. The stove stands in the open space upwards. When we heat with our Olsberg without storage with about 5 kW, we (including me, the cold-sensitive one) open the windows. Because it's not like the underfloor heating immediately turns down. The stove adds heat for coziness on top, so the house eventually gets very warm.
And no, you should let the fire burn properly for 4 hours for 2-3 hours of coziness, otherwise the stove leaks and the glass gets soot-covered.

Exactly that was true for us too. To prevent this, you would have to turn down the underfloor heating but then it would be cooler than desired when the stove goes out again.
For this reason, I would rather design the heating value low.

The problem is that you are talking about a "ship," but the OP wants to buy a car. The comparability is missing. Saves on all points.

I think that also answered my specific interim question with that and the text was meant for me.