38° instead of 35° pitch angle (DN) provide 40.5 (36.5) cm more height at the ridge with a house depth of 10 (9) m (Attention: not only for standing, but also for the house!). The 2m line moves approximately 30 cm closer to the house wall. With a 1.20 m knee wall, the 2m line at 38° DN is about 1.02 m from the house wall. For a 10 m house depth, this already means a 7.95 m deep two-meter area and thus: full-story alarm!
That already tempts me to calculate whether the attic could not simply be taken as the upper floor (OG) right away (with 40° DN).
Underfloor heating in an area where a few dumbbells and workout clothes for the next New Year's resolution are lying around seems dispensable to me.
At least if you want a knee wall for more usable space, a roof construction with head height-restricting effect does not seem appropriate to me.
Depending on the heights permitted on the property, I would first clarify how much of it is "used up" for adapting the building to the terrain. The knee wall often then becomes a small knee wall.
The more uses for the attic beyond just Christmas ornament storage you have, the more advisable it is to lead a "full-grown" staircase up there. If this is to be done by continuing the staircase to the upper floor (OG) and you do not want the stair position dictated by the attic (DG), the head height can, if necessary, also be provided by a dormer; you don’t immediately need to give the whole roof a knee wall for that.
Non-living spaces have a lot of potential for DIY work – drywall panels, insulation wedges & co. are loved by home improvers.