During the pandemic our up north fridge died, emptied, doors left open. There is sat from April until November, because supply chain didn’t have a fridge to buy.
We were in TV, so not a big deal. Our electric bill was $8.17 less per month without the fridge, everything else was exactly the same in year previous.
We have left our fridge running in TV in all of our homes since 2010, (always with weekly home watch) at the advice of repair men. Some experts say not running the fridge can shorten life, due to coolant is not circulating. But who really knows.
OP do what make you feel comfortable, you have 50/50 chance at being right or wrong.