All of these terms confuse me. The only way, I suppose, to have a vegetarian chicken is to cage it or at least keep it in an enclosed environment. Otherwise they will eat worms, insects, anything they can peck at.
Anyone who has ever raised a chicken knows that.
And yes, the eggs we usually buy are not the ones I remember.
I have nothing against anyone buying eggs certified as anything, I just get confused by all the terms, i.e. organic, cage free, vegetarian.
Before criticizing a person, walk a mile in his shoes - then you are a mile away and you have his shoes!