It's not guaranteed that the resulting chicks would all lay colored eggs. Some of your EEs may carry a recessive gene for white egg shell, so it could end up with two white egg shell genes and end up laying white, tint or brown. White egg shells would be (w w). Blue could be (b b) or (b w).
If your EE carries the pure blue, then you would get:
w w
b bw bw
b bw bw
So, all chicks would have the blue egg shell base. Depending on whether or not the chick inherits any brown coating or not, the chicks would lay blue or green eggs
If your EE carries the blue gene with the recessive white gene, then you could get:
w w
b bw bw
w ww ww
So, half would lay white shelled eggs and half would lay blue shelled eggs and depending on whether or not the chick inherits any brown coating or not, half could lay blue or green eggs, half could lay white, tint or brown.
If I am right, I the SS lays a light pinkish brown, so the brown coating on your eggs would be light unless, of course, your EEs laid an olive green and add the brown coating from her side, then you would get some brown ones!
An EE is generally considered a mix of chicken breeds that result in colored eggs. So, some of yours would be EEs and some not. You wouldn't call a mix between RIR and SS an EE just because it is a mix, no, an EEer is one that lays colored eggs.
