It's amazing how different everything can be.
I spoke with 4 stove builders/dealers, who all told me slightly different things. So I contacted the chimney sweep.
For our new build with controlled residential ventilation, he says: I'm only interested in the stove's power in relation to the cross-section of the flue pipe in the chimney flue. The stove builder must certify the correct construction of the stove, the ventilation builder that the system exhausts as much as it supplies, then they neither need a pressure monitor, nor an air-independent stove, nor a Dibt approval.
The stove builder says: air independence is obsolete after 4 or 5 years anyway, when the seals are worn accordingly. And that you could never connect an external combustion air supply 100% airtight to the living space.
We just don't yet know how to deal with these "freedoms" from the chimney sweep.