Because the blue pigment comes from -- biliverdin - I think that is the substance, excreted by the bile glad - If memory serves, I think that what the CL hen ATE may have more to do with the egg shell color than where she is in her clutch. Because the "blue" is throughout the shell...it isn't a coating like a brown layer -- It would be a possibility to have the blue-egg laying bird have a darker blue later in her laying cycle.
Beta carotene is a building block of the pigment. If the diet, grass, weeds, grasshoppers that the CL consumed was richer in beta carotene, it could possibly have an effect on the color of the shell. (Strangely, I think feed companies were putting marigold petals in feed to get oranger-yolks, but I think that carotinoids can influence shell color.
for CL Club members there is an article about this in the club house...or if you need a link PM me and I will go in there and get the link and send it to you.