fwiw, my 57 CVT jazz sometimes makes an electric whirring noise for a second very shortly after starting the engine and driving off. It's not from the fans or aircon compressor but seems to be coming from engine bay, may be left side.
The electric motor like noise is a higher pitch than normal radiator fan noise. Sounds like something opening or closing? It may only happen in cold temperatures but don't quote me. I thought perhaps there may be an electrically operated diverter flap on air intake, if the DSi engine even has one. This may or may not be same symptoms on Mk3 ?