I think it was sorka who said that the car was traction limited up to about 47 mph. I know very little about this drag racing, but if what sorka says is true, there's extra torque we're not using, so the additional rotational inertia shouldn't make any difference in the first 60'. I guess the tackiness of the drag strip surface may minimize any difference in tire grip for different wheels on this car.
I think the highest trap speed was for a car that didn't lower tire pressure for increased grip. Since there seems to be little difference in grip at the low end, maybe a tire with lower rolling resistance will help at the top end where these cars are weakest.
Slight mis-characterization. When I say traction limited, I mean Tesla has calculated how much torque they can apply, with a nice safety margin, before traction is lost. If traction is ACTUALLY lost, the car will pull back almost all power until traction is restored. The car won't detect how much traction it has and raise power to the limit of actual traction. Therefore adding sticker tires won't make any difference unless you drop so much weight off the wheels that the torque goes up at the same motor power level because lower rotational inertia translates into more measured torque in acceleration(at static speed with an eddie current PAU the wheel weight won't matter).
Adding weight to wheels will slow you down. Removing weight from the wheels will result in faster acceleration from 0 to 45 MPH. But if it's possible to remove enough weight from the wheels that you lose traction, then you really will hit the limit.