Why not eat them? Wash them well and you'll be fine. You can still give the chickens the shells, without wasting the eggs themselves. They only need the shells anyway.
You're right, it's not 100% but the only rule you need to keep in mind is that there's always eggshells in the bowl. If they start to run out and you don't have any to replace them with, then you can ask a neighbor to donate their eggshells from cooking, or if you buy eggs when your hens are molting or slowed down/stopped for winter, then save those shells, too, to use when the hens resume laying in the spring. My hens stop completely in winter and I have to buy eggs, but I save all the shells (bake them to speed up the drying process, then store in jars - you can't store them fresh and moist or the egg residue will go bad and stink, so you have to dry them first, and a quick trip through the oven speeds that up).
Oyster shell is a very modern invention when it comes to chickens, and it's very regional. Not everybody has access to it. I grew up rural (in Europe) and we hadn't even heard of oyster shell back in the day, we just gave the chickens their eggshells back. That's what I do now, too - save the shells from my own eggs and any eggs I buy. I've never used oyster shell or layer feeds with added calcium, and I don't get soft shelled eggs.