Is that limited to EVs? Unless they slightly increase the fuel tank in the different trims in ICE vehicles then any extra weight will reduce the maximum range due to the mpg being lower.
My car's fuel efficiency barely changes when I go from just me in the car to 5 people in the car, but a EV's range will change substantially (I presume).
ie. an EV that needs to produce 1kW might use 1.1kW from the battery and when it needs to produce 2kW it might draw 2.2kW (~2x) from the battery. So 10% increase in weight might result in a 10% reduction in range.
An ICE that needs 1kW mechanical energy will probably burn 10kW worth of petrol; when it needs 2kW of mechanical energy it’ll burn 11kW (<2x) of petrol. So a 10% increase in weight would result in a <10% reduction in range.
Directionally, your numbers are right, but we'd be looking at more like 5 kW to idle an ICE regardless, and then 6 kW for 1 kW output and 7kW for 2kW output (efficiency going from 17% to 29%). Instead of doubling output though, we'd only need to go from 1 kW to ~1.035 kW if we increased mass by 10%.
Which brings us to the topic of the batteries being heavy AF, but that's a whole other question.