I dunno if one eggs storage method lasts longer than the other, but they both last an awful long time, apparently.
I have heard the water content/texture does change after a long time, making them unsuitable for baking applications where the composition matters. I'm not a baker, I dunno. They taste fine and are indistinguishable scrambled or fried.
Let enough months pass and they seem to thicken up some - still edible, but definitely past their best. None of the box we misplaced at the back of the store cupboard were off.
Meat as well but you have to be accustomed to how raw meat is supposed to smell which may be more pungent than you think.
Trust your nose. The date isn't a guarantee. I have had food within the expiry date that seemed off, I ate anyway, and it made me sick.
Use by we respect - but even then only ish. Mainly as there is a lot of slack built in that date to allow for people with a too warm fridge, or it sitting in their nice warm car for 2 hrs first.
Generally we just go the traditional route to gauge: Smell, texture, separating, colour change, etc. Milk that's turned is super easy to detect. Was even easier before homogenisation.