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The contact patch area size is by and large a result of the weight on the wheel divided by the pressure in the tire, although tire construction does influence it too.
If you make the tire both larger and skinnier the patch will be longer and narrower.
The sidewall deformation of the tire will be less than it would be on a contact patch of similar length on a smaller wheel, but slightly larger than on a smaller but wider wheel with the same contact patch area size.
Thread deformation would be respectively much less and equal.
Scaling up size, width or pressure reduces deformation, all else kept equal.
When you compensate one with the other then it roughly equals out.
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2011 Honda Insight + HID, LEDs, tiny PV panel, extra brake pad return springs, neutral wheel alignment, 44/42 PSI (air), PHEV light (inop), tightened wheel nut.
  lifetime FE over 0.2 Gmeter or 0.13 Mmile.
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