True, but if it gave a real competitive advantage to run skinnys then I'm sure someone would try them.
e.g. - steer tyres on 2wd offroad buggys are VERY skinny - it obviously gives them lighter weight and more precise cornering.
As I said above - ice tyres in the WRC are skinny - 145s!!! Since the car is actually riding on the studs, the total contact patch is the size of a postage stamp!!!
And what about events like the Dakar? The 4x4s run pretty wide tyres, and the trucks run SERIOUSLY wide tyres (see pic below) - but in the heavy truck field, you can't argue that serious R&D hasn't gone into skinny tyres.

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