That was not my assertion. I stated that it was not directly related.I was replying to your assertion that the performance of a given type of cable at a given temperature has nothing to do with the current it is deemed capable of carrying.
There are many flexible cables that are suitable for use at conductor temperatures in excess of 70C. Not common in a domestic situation perhaps, but common in industry. It is also possible, in many situations, to limit the flexing and other stresses on the cable, or apply forced cooling. Again not practicable for domestic appliances, but I was not restricting my comments to domestic appliances or to the scope of BS 7671.