If I cut off half (or so) below the ridge,
Nothing is cut off there. My recommendation for the construction of a "offset shed roof" is to place the "ridge purlin" over a wall offset from the central axis, which automatically creates an offset and a ridge gable (which I, by the way, suggest to be classically glazed instead of "modern" blind) in combination with equal slopes on both sides. The other two construction methods would be b) different slopes (with the analogy of different usability), or c) different eave heights (which, without a corresponding split level, look like crooked hips).
A guest WC and utility room could go upstairs from our point of view.
Guest WC no, rejected due to pointlessness
Utility room surprises me: You had expressed fear of every multi-meter pipe in front of the meter. Does that not apply to vertical meters?