I imagine that getting a heavier car up to speed in stop and go traffic would be more energy intensive. Also driving it uphill has to use up a lot more battery since it's so much heavier. The weight reduction should improve [1] tire longevity and reduce maintenance costs. Overall I think it could help with range and costs so it seems like a worthy thing to focus on.
[1] - https://arstechnica.com/cars/2022/12/heres-why-electric-vehi...