Nah people feed cooked eggs back to their flock all the time. I don’t think a cracked egg is any worse than the morsels they find digging among their own poop!
Yes I've met some of those people too. I don't like giving any of my home goods to people if I believe the food will go to waste, especially my eggs. I feel like each little egg is a gift to me from my girls (which is silly, I know).
I just always lean toward the better safe than sorry camp. Lately I've putting all of mine on the counter even though temps have been around 30-40 inside the coop, but I eat them within two days. If I were going to sell them, straight to the fridge. Really any egg gathered under any condition...
An egg that is fully frozen will likely crack, but a partially frozen egg likely won't. Partially would make the albumen runnier than usual, but it should still make a good over easy egg! I haven't used an egg that has been cracked from being fully frozen because I've only found one or two...