I drew over some missing faces' edges and they healed up.
However, the one on the shallow-dome part cause a double face to form - it was only zillions of an inch apart - but stopping it being a solid.
Because the edges were supporting too many faces !
I selected one of those faces and deleted it.
Then it reported as a solid.
I suspect that there is some incredibly tiny variance in these edges which SketchUp thinks can't support a face - or can - and then adds two faces !
Doh !
These overlaid faces can some times occur - SolidInspector will show them - but can't fix them...