If the BEV is running with their 2kw heating turned up full blast in addition to running down the road, and there was a heat loss of around 2-5% while charging the car then We’re still at around 3x more efficient in the BEV vs the ICE.
Then there’s the electricity supply which ranges from 0 refinement loss and 50% thermal efficiency (natural gas fired power plant) to NaN% for nuclear, wind and solar.
A BEV charging right this minute in the UK is consuming energy originating from 25% gas, 25% nuclear, 25% wind, 5% solar (its 6:30pm).
It could be more than 5x when you compare with ICE fuel supply / refinement / storage / delivery.