I can see now why the adiabatic will not work (coming off a train was the wrong time to be thinking about this) however my point about 'fault condition' (in inverted commas, as I had written) was meant in the generic context, i.e. a condition which is not normal, and I've been going through my head considering the examples of such an occurance in fixed wiring which are not protected by another requirement of BS 7671. For the time being I have yet to find one!You appear to be totally confusing the concepts of 'fault' and 'overload', at least in the language of BS7671. Overload, as we (and BS7671) understand it, is (or can be) the antithesis of an adiabatic process - so that adiabatic calculations are inapplicable to, and no help in determining the fate of cable in, 'overload' situations.
I suppose the closest would be IT installations, where e.g. a short to earth on one line can cause a potential rise in the other without causing disruption of the supply, and who's voltage a)can be raised above LV, or the rated voltage of the cable, and b) allow someone to more easily kill themselves by touching that other line, by introduction of an earth reference. However these are controlled installations and I don't think that really counts.
With regards to your shorted heating element, what you're suggesting would introduce an overload to earth, or rather the cpc of the circuit, in many instances. If the majority of the current were to flow through this cpc (as I suspect it would), not the neutral, then the cpc would, in many domestic circuits, be undersized to support the sustained overload. Would you therefore suggest installing T&E with equally-sized conductors?