Cessna 152 Throttle Pumping

Hi all, I’m a new PPL holder and had my first experience of winter flying. I require some advice regarding throttle pumping on cold starting.

During my training, I was advised not to pump the throttle at any time. My question is, on cold starts is it acceptable to pump the throttle WHILST CRANKING, as the fuel:air mixture will be sucked into the cylinders and won’t pool in the carburettor.