OK.That's what I initially thought, but we only have four hens, and as you can see we have exactly four different types of eggs. Also those four eggs in the carton picture we're all collected on the same day.
Let's try this open a gray egg and immediately peel the inner membranes off the shell and put shell on a dead white surface(like computer paper or paper towel). It may still show some of the blue pigment.
I suppose it's possible for the hen to have lost the shell pigmentation.
@Ridgerunner and/or @ChickenCanoe might know more about blue shell pigmentation.