Indoors, I would take KSS, but not for the extra cost. It always depends on the overall structure: sound insulation of the duct shafts, windows and installation quality, roller shutter boxes, doors, construction of the exterior wall..
And Kaya shops at Edeka. By the way, I have a different faith, as they say in Cologne Regarding the stone, I wouldn’t let myself get crazy about it – they are neither disaster stones nor philosopher’s stones. KS for interior walls would also be my first choice – but without other materials being a drama. Thermal bridges are not tied to any particular material; you can process anything incorrectly.