I don’t see any area being lost, certainly not 20 sqm. If you took my simplified sketch 1:1 at face value – which it is not meant for, but only to basically show how it is feasible – then you would lose about 4 sqm in the area of the door between the hallway and the living room.
But first of all, it is only a principle sketch – just for illustrative purposes without detailed tricks – and secondly, you can recoup that when extending to the left (but for that you would have to set the plot with building window / setback areas so you can tinker with it).
The technical room can be moved to the basement, which allows the ground floor layout to be changed again.
Also on the upper floor – I only currently lack the time to demonstrate this, as it is somewhat more complex to put together – I don’t see any significant losses threatening: some savings can be made at the air space above the entrance and the “gallery”; otherwise, it’s more shifting around than shrinking. Overall, there it is also only a minor operation under local anesthesia.
I have not touched the light wells, and consider them likely to be preserved without major changes.
The architect does not yet need the structural engineer for the general feasibility (which I consider given), but for the later approval planning.
As a precaution, assume that the existing basement ceiling will be completely removed and rebuilt. This also makes it easier to remove the oil tanks.
Otherwise, I consider the basement to be preservable as is, including lighting and location of the external staircase. The house design will be re-planned without loss of area. Exactly what is possible depends on the degree of leeway to the left side of the plan.