I don't think that this instantly means a hen is intentionally eating eggs. What I mean by that is that if an egg happens to get broken, or say is a soft shelled eggs and it happens to break to where the chickens see it, they will eat it. I don't call them egg eaters because if I drop one and they see it they will all come and gobble it up. So, I think it is possible that this COULD be the case. But, yes, it could be that you have an egg eater - one that intentionally goes after eggs just to eat them.