You can install our site as a web app on your iOS device by utilizing the Add to Home Screen feature in Safari. Please see this thread for more details on this.
Note: This feature may not be available in some browsers.
Ultimately physics don't lie, and lighter rotational mass does allow any object to move more efficiently. Another key variable to range efficiency versus cornering grip is tire width. In our car we opted for a wider tire and softer compound. As we are using 285 width rear tires we knowingly took a trade-off of range for amazing cornering grip.
Unfortunately we don't have apples to apples test data with factory tires of what results are had for reducing nearly 40lbs of unsprung weight from the wheels. Seeing how the Model X has a 15% range penalty when upgrading from 20" to the heavier 22" wheels, I would think there would be a tangible range improvement. I just don't have scientific measurements of it.