I read somewhere that you can keep eggs unrefrigerated for quite some time if you brush them with mineral oil first. Provides some kind of hen-like coating that cleansing takes away.
Eggs can be stored at room temp. Except in extreme situations i don’t think i would use mineral oil, but an oil more meant for consumption, like olive oil. The mineral oil will penetrate the shell into the egg to some extent.
A grocery store I shopped at in Italy kept their eggs in little cardboard containers on a shelf next to the jellies and preserves. I never saw them refrigerated.
Waterglass is much better.