Good question - should have been more specific originally but didn't want to bore anybody either
That diagram (from first post) really only shows the back of the house in cross section and yes, that wall is block. It runs the entire width of the house apart from an airing cupboard/HP (which has a low stud wall at the back, as you correctly surmise) and an ensuite at one end (ditto). SO for most of the width of the house, there;s the roof, at an angle, then a block wall inside it (terrible waste of expensive hollowore floorspace, I know). And this space is already insulated, extruded poly between the roof joists.
The front has a low stud wall/purline type thing, and two dormer windows. That stud wall is insulated in the conventional way - but the hollowcore floor beyond it ISN'T, and like I said, that's my concern, that the rooms underneath are losing heat up through here i.e. here this x is:
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Just to complicate things, there's then a third section - the protruding part of the house's L-shape, which is like the back of the house in miniature i.e. two sloping roofs, a room and a half between them, bordered by, yes, block walls, not stud.
What you've said about overheating is very interesting and I think you may have solved the mystery of the nighttime thunk sounds which reverberate through the cavity at the back (which is already insulated and possibly not adequeately vented, having only those little grilles in the soffit.
Bet you wish you hadn't asked now ;-) Are you an engineer BTW? You know a damn sight more than the guy we had...