We discussed doing some experimentation, me included, but don't think anyone ever did(me includedI read that the pigment is a byproduct of bile production. So that makes some modicum of sense.

I have some CL that lay abysmally pale blue eggs, not great for making Olive Eggers. Tho I guess you'd have to supplement diet forever to keep the blue bluer.
I'd guess most blue layer breeders(serious ones) focus on SOP body conformation and plumage colors for show wins rather than egg color.