Something people seem to forget is that shedding weight only helps so much on range. It most directly helps with acceleration.
Yes, weight does impact range, but the biggest killer for EV range isn't weight, which is somewhat offset by the fact that recharging while decelerating is greater with greater weight, it's aerodynamics. Overcoming drag is the big one, that's why range decreases exponentially the faster you go. So yes, a heavier car takes more to accelerate, but you also get more back via regenerative braking. The cost is the difference... which will be greater with a heavier car, but not impact things remotely as much as aero.
The only way to really see massive gains on range (such as 10-15%) is to increase the size of the battery or improve aerodynamics. Weight will help a little, but to get a full 10-15% increase in range we'll need more juice... or a more efficient drivetrain.