There are two reasons tires have a larger impact on vehicles with more range.
For the same vehicle, the impact of tire differences, is a percentage of the reference.  Example:  (A 10% difference on a vehicle with 200 miles of range is 20 miles.  For a range of 300 miles, the 10% difference would be 30 miles)
The heavier the vehicle, the more tires matter.  This is because, the more weight that is put on a tire, at the same inflation pressure, the greater the energy loss by the tire.  Vehicles with extended range are heavier due to the additional batteries, so a change in tires will have a greater difference.