Yes , As per FA2023….. WDV will be 18% because car {co2 =<50g/km} goes to the Main pool, where the WDV will be 18%, but since the CAR has private goes to Private Pools. But WDV remains 18%.
Lets say, if the CAR {Co2= 51g/km}, the car should originally go to Special Pool attracting CapALL of 6%, but since there is private use it goes to Private pool but sill attracts WDV @ 6%.