I remember a Top Gear episode where low profile tires actually made the car slower.
So how low would tire profiles go if rules allowed everything?
I guess you need certain sidewall height for deflection to increase contact patch.
Now about tires
Wider tires mean more grip, but, up to a point? Is there a limit when wider tires actually decrease mechanical grip?
Would we see road roller tire width?
Of course wider tires hinder aerodynamics and may create more rolling resistance.