it’s perfectly standard to keep eggs in the fridge here in sweden, no reason not to since it just makes them last forever.
Longer! In Scotland, mostly cool, mine sit on the counter for a couple of months at a time.
I spin them to check if they’re still okay. You spin them on the counter, briefly place a finger to stop them and release. If the yolk is still fluid the egg will start to spin again, and they’re good to use. If the inners have congealed they stop dead, and go in the bin.