That's the fun part, any kind of dino-related color and its significance has been sort of overlooked till now. These particular eggs were blue right there on the surface
the same way that some eqxuisitely preserved dinos have their coloring/patterning visible with the naked eye (the "lemur stripy" tail of Sinosauropteryx as well as the densely striped tail feathers of Caudipteryx) - but spotting this leads the way to looking for it, so lately researchers are checking a lot of long known fossils for traces of pigmentation. Confuciusornis has been tested, and was probably starkly black and white, Archaeopteryx has been tested, and has likely black feathers at least some parts of the body, Sinornithosaurus turns out to have been reddish orange speckled and so on.
A similar approach to allready known eggs could possibly reveal more colorations or hints of it
Dinosaurs laid eggs of widely differing shapes, these famous ones are elongated, but even related dinosaurs laid very different eggs, such as completely spherical. The laying of eggs varied too, in what pattern their laid, what type of nest etc. Some would probably be communally cared for, others might have been abandoned, like crocodiles. So, like all this variation, color would play a role too