A stock P100D is not traction limited in a straight line. The car has a fixed torque setting set well below the limits of factory tires. Also the amount of surface area that touches the ground is determined by car weight, tire pressure and downforce, not tire width. The tire width is to change the shape of the patch to improve handling in corners. Also soft compound tires need more width for the sidewall to support the car weight.
Granted Elon's team will have certainly have increased the torque setting with the stickier tires. Most drivers would probably get better lap times with the torque setting preventing most wheel spin. With a professional driver they might get better times with the limit set higher.
It would be an interesting track mode to have the torque setting dynamic based on ambient and tire temperature, tire pressure, suspension settings, car velocity and lateral g forces. My understanding is that autopilot is designed to not use map data but instead only rely on the cameras, but I suspect that if the car knew the race track route it could optimize considerably as well.
My theory on the front trunk is that it is the easiest place to access a CANBus port and to quickly swap a solid state storage device on a CANBus data recorder.
I don't think it's well below. They have the torque set pretty close the limit to achieve the 0-60 times they do. The car will ocassionally spin the tires during launch mode causing the traction control to kick in. When this happens, it significantly affects 0-60 time. Sticky tires on a treated surface is a different story. But in our discussion of your grandmother doing 0-250 mph runs on factory tires, I think Tesla's pre-programmed. optimized torque curve is what is relevant.
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