The science here is also perfectly backed by empiric evidence. Just measure the kWh used in a year and compare. It doesn't really matter how a chest fridge is more efficient, it just is.

The convenience is not as easy to quantify, but I would bet that an experiment would quickly point out that chest fridges are terrible for elderly, children, and anyone with reduced mobility. I'd hypothesise that even able bodied people would get annoyed when they are cooking — I know I would be.