I thought EE's and Amauracauna's were the same breed.
Nah. The easy way to think about it;
Rhode Islands are a breed. They often come in the color red, sometimes other colors. RIR are a breed of chicken.
Ameraucanas are a breed. They often come in BBS, but other colors too. They are a breed of chicken.
Production reds, ISA browns, etc. are NOT a breed, but a variety. They have a lot of traits and appearance similar to a RIR, they usually have RIR in them, but they are NOT a RIR even though they are similar.
Easter Eggers are NOT a breed, but a variety. They have a lot of similar traits, and appearance is similar to an Ameraucana. They may even have Ameraucanas in the mix. But they aren't Ameraucanas, even though they're similar.
Few who raise Ameraucanas would mistake an EE for an Am, in the same way a RIR breeder would notice if a Golden Comet slipped into their flock.