I store in a lot between trips. Precooling was my big concern especially in the hot FL summers. I have had NO issues at all.
I have 2 6volt group 24 batteries and a GoPower 1k watt inverter. The Samsung is very efficient. I turn it on no more than 2 hours before a trip and it is at proper temps when I'm ready to load. That is in 80+ degree mornings.
As long as the batteries are topped off (which they are after a trip) the battery level is still at 2/3 when I load up after precooling. I have had no trouble then using my Big Foot jacks to hook up or powering the pump for the disc brakes. The truck keeps the battery from discharging any further below 2/3 during travel. I have never had any trouble on a 7 hour trip with the battery dropping below a safe level.
Good batteries, an efficient inverter not oversized for the job, and an efficient fridge will make a difference in the power needed to precool.
I do not use the inverter for powering the fridge while on shore power. My inverter is dedicated to the fridge and has an auto switch over between shore power and inverter.