Did you weigh the 20" sport or did you get these numbers somewhare?
I weighed the 20s, and they came in at 54.5lbs on my scale. I can't vouch for the accuracy of the scale, but wasn't too concerned. I was mostly using it to compare the delta between the stock wheels and my aftermarket wheels.
I'm a little surprised you didn't see improvement with the wider backs. I'd be very curious to see this setup on 1/4 mile as that has been where the P seems lacking (P and AWD are only 1s diff on 1/4, which shouldn't be the case).
As much as I'd love my P to be much faster than the AWD, the fact is they both have the same motors, and same batteries. The one second delta in the 1/4 mile is most likely due to the one second 0-60 delta. After that, it all seems to be equal.
I'd be curious to see if there's any acceleration differences in the 5-60, 30-60, 60-90 etc.