A new building that requires 7 kW heating capacity is, in my eyes, a newly built old building. And in the eyes of our legislators, in my opinion, no longer permissible. Therefore, I would bet that the heating load is somewhere between 3 and 5 kW. Without knowing more about the house.
That the CHA 7 can certainly be used in such a house and that it probably delivers quite decent results is of course also true. It just costs more.