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The question can be stated as to which rate of change is the faster one. Is the rate of shrinkage of the contour or of the continuation loop (circle) the greatest.
If they are related, then the connectivity is zero because the RATE of shrinkage of the fractal (and of the comb too) depend inversely on the size of the previous change which is a logarithmic variation, whilst the rate of change of the continuation loop is a reciprocal one. Then connectivity is zero for both cases.
However if these two changes are arbitrary or unrelated, there is no answer.