We don't have an EE but a related breed - an APA Ameraucana and she is just a sweetie. She is hyper, kooky, klutzy, skittish, alert, jumpy, vocal, predator savvy, not a broody, and not interested in flock politics. She does everything she can to avoid conflicts. This is the nature of the breed. OurFlyBabies.com keeps Blue Wheaten Ameraucanas because they will accept orphaned chicks or injured birds into their flock willingly - a very caring gentle breed that you don't get with most other breeds. For all their hyperactivity they are not flighty to want to leave the yard. They seem to like staying around where they know you are going to care for them. We kept our girl inhouse during her quarantine period before introducing her to the outdoor flock so we got a lot of interraction with her while she was a juvenile. It takes awhile for the breed to mature and once they do they are pure joy.
They seem to crave human interraction, love to carry on conversations with you back and forth, allow you to pick them up and cuddle them until they fall asleep in your arms - most other breeds can't wait to jump out of your arms but the Ameraucanas and EEs like to hang around you and not just for treats in your hand. When you pet them they coo like they're really happy with the attention. We had a Dominique who was very similar in temperament and it was sad when we lost her as she had formed a sweet gentle bond with the Ameraucana.
What surprised us about our girl is that she lays in winter and when all the other breeds go broody she doesn't - a real plus! And her eggs have gone from LG to XL after turning one year old last month.