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I think (assume) the walls and ceiling of the rooms in the conversion are cavity insulated.
Theres some insulation on the other side of wall with the little door in it, but none in the rafters behind that wall. There's nothing insulating behind the roof tiles for example. Any heat that ends up in the storage place will just disappeared away.
The previous owners builder was a cowboy - we've encountered several examples of his craftsmanship!
I'm not clear - is the loft conversion (middle bit) insulated at roof level, and not in the floor? Does that insulation come down the (presumed) wall with little door in? Is it in the roof and then just stops, so heat from the middle space goes through the storage to the outside, as well as heat from downstairs going up through the storage space to outside?