Hi
most animal calcium rich products are relativly ph neutral and not so strongly charged like
milk egg shells oyster shells and bone. so they should stay intact untill the soil becomes far from neutral. Exactly how far depens on the other positive and negativly charged particles in the soil eg. aluminum or humus. Earth worms would eat the egg shell powder too making more callcium available but the castings would be relativly neutral as guts of most animals balance digestive juices out. the soil critters would also move it around a bit. If you don´t see blossom end rot you could put it in your
compost first and itl get spread out that way too. Id be real surprised if you killed\injured a plant with a half cup of eggshell powder. If your trying to raise pH
Wood ash and lime have a fast effect, egg shell powder would only help add calcium gradually.