Because the contact area isn’t really constant. As the car turns, the tires don’t have an even pressure to the ground across it’s width. A wider tire allows for better contact management overall. A lot of racing is “won” during the braking and turning phases of the track – so better traction in corners allows for much better track times.
The tires are also not totally dependent on “friction” as they are somewhat sticky when at operating temperature – the simple equation used for friction is not applicable. In general, the larger the contact patch, the better.
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