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Over time I have learnt to classify people I know into three distinct categories:
I find it difficult to make distinct categories, but there seem to be two dimensions along which to classify relations:
(Even this is not a clear distinction, because "my relatives" is kinda contextual, but the context is there forever.)
Mapping to your system: close friends = high intensity context independent; friendly acquaintances = high intensity contextual; acquaintances = low intensity contextual.
One quadrant seems to be missing, but maybe that makes sense: if the relation is low intensity, why would people bother to keep it outside of the context where it originated.