Coolsculpting + Intermittent Fasting - will that hasten the elimination of dead fat cells?

I'm looking at having the CoolSculpting elite procedure. From what i gather, the procedure freezes the fat cells, causing ~25% of them to damage their cell walls and die. the body then takes months to process and eliminate the dead cells. So, for the next month, if i do intermittent fasting or even longer 24-72hr fasts, which triggers greater Autophagy in the body, will that hasten the elimination of these dead fat cells? are there any negative effects to IF post coolsculpting?