My EEs have been decent layers. Even at five years old the ones I still have are giving me two eggs a week.
I have heavy netting over my pens to keep out predators but also to keep the birds in. Both the EEs and ameraucana I have WILL fly over the 6 foot fence if they find a hole. Some have gone to great lengths to get out.
This is the very reason I no longer have EEs or Ameracauna's I liked both, and my EE was an excellent layer but they fly well and even with clipped wings she could easily "hop" to the top of the 6 ft fence. I like my Favs and silkies and I am also growing out some LF cochins in the hope that they are "content" to not "flay away"
Had the zip ties holding the netting at a corner break. Watched the EE pace looking at that hole. Then she flap climbed the fence until she could hook her head over the top rail and pull herself out.