Rubber has particular properties related to the cross-linking of molecules in the rubber. The more cross-linking, the stiffer the rubber. This is in the same particular compound. Different compounds have different characteristics but the principle is the same.
If you want traction a soft tire with less cross linking will grip hard, but wear faster. A really hard compound will last a long time, but no grip.
Cross linking during manufacturing is a chemical and heat process. If you heat the tire at a later date, it adds to the cross-linking. A burnout doesn't do as much as a long heat cycle. It takes time. 10-20 minutes to get any kind of reasonable addition.
Reducing the amount of rubber by shaving reduces the mass and the centrifugal force. Stress forces on the tire at 250 mph are huge.
Jason and Noonan both mentioned without too much detail that they have spun tires to 300 mph with no load. Jason might have mentioned load, but I'm not sure.
Just isn't the same as running down the salt, is it?
Jason should put the leathers up on Ebay. World's fastest tested leathers. Whoooo!