I think about asbestos here the least. I see a major difficulty for your demolition request in the party wall. Moreover, I dare to doubt that a new building would be approved here that deviates in character from the other half - I even believe there is not even a chance for a different house profile.
The stone format used was apparently not yet familiar to the architect; he apparently still made mistakes thinking in the octameter system. According to my research, it was not common before 1952, but I rather estimate the house to be from 1960 +/- 2 years. The rafters have no collar beams, which also contributes to my overall impression. Architecturally, the house could have fit into the 40s or 50s, but I consider 1932 to be a rumor. Back then, some interior walls would have had different thicknesses; here, the new Reich format was apparently used in the masonry, and gypsum boards were used partially.
A likeable house, but very comprehensively in need of energy renovation; and also clearly not suitable for an owner who wants major changes to the layout. An (additional?) extension could be possible. My tendency is clear: take the appointment as an interesting experience that can’t hurt - but then move on.