It’s true that a cycle O-Matic one does not dry out food as much as frost, free units, modern frost, free refrigerators don’t ruin vegetables nearly as quickly as the early ones did.
Even if you lay the refrigerator on its side, there is no requirement to let it sit up right before plugging it in. I’ve never heard of a refrigerator hurt by laying it on its side or by plugging it in immediately there is no such requirement or suggestion anywhere in the service manuals, that require you to wait to use a refrigerator.
John