My guess is that you can't make any generalizations as tyre properties differ a lot depending on the use. Examples:
Road Tyre, hard compound, high walls, tread.
Road performance tyre, hard compound, low walls, tread.
Single Seater Racing Tyres, soft compound, high walls, slick.
F1 Tyres, soft compound, high walls, tread.
Touring Car tyres, soft compound, low walls, slick.
These differences in spec will definately influence where the heat goes. And even if all tyres were the same, I think both high and low pressures will cause overheating at the extreme ends of the scale.