MvM said:
bigger tires still have the same size of contact-patch on the road but just in a different shape. All because of the weight of the car in combination with the tire-pressure used.
True. If you have a 3000 pound car, and its weight is being supported by the inflation of the tires with air pressure of 30 psi, the size of the four contact patches is going to total 100 square inches. It doesn't matter whether they are 335 mm wide gumballs or 185 mm wide skinnies; as long as the weight of the car is supported by the tire inflation, the relationship still holds - 3000 divided by 30 is always going to equal 100. Note that when tires are NOT normally inflated, such as with run-flat tires that have been punctured, then the sidewalls support a portion of the weight, so this relationship is no longer true.
The Technical Director at the Tire Rack notes that they have measured the size of contact patches of two tires of substantially different widths, on the same vehicle with the same inflation, and they found that the size of the two contact patches was identical, within the accuracy of their measurements (less than 2 percent error). So this book differs with what the Tire Rack found. Knowing how very high the level of expertise at the Tire Rack is when it comes to tires, I wouldn't place a whole lot of reliance in anything that this book says. They obviously didn't consult with the experts in their field.
MvM said:
At the same time however, in many articles I've read, writers have stated they thought that the OEM-tires for the NSX were too small to achieve maximum cornering-speeds.
The theory behind those who claim that wider tires allow faster cornering is that it is achieved due to the difference in the SHAPE of the contact patch, and not due to any difference in the SIZE of the contact patch. (Most such folks know enough about the physics to realize that there
isn't any difference in the size of the contact patch.) In all of the actual, real-world tests I've seen, that is true only up to a certain point; for example, when speaking in terms of wheel sizes, when you go plus one or plus two, you may improve lap times, but they worsen when you go wider beyond that point.