I haven't been on BYC in several years now so I have no idea what it's like now but, from my previous experience, I'd take anything said on there with a grain of salt. The problem with BYC, FB, and many online sites is that things get posted, and oftentimes false, and yet folks then run with it and repeat it which then gets repeated again. And again and again and again.
Also, I agree with you John about the definition of Easter Egger. I don't agree wholeheartedly with it either. Case in point, as I've said before, I have maintained a closed flock for 8yrs and got my start from someone who's bred the variety for 30yrs or so. As part of my breeding plans, at one point, I was trying to eliminate the brown-egg gene modifiers to remove the greenish tint amongst other things. I remember identifying the brown as coming from my #13 line and I got rid of them all. Out of either that year's, or the next following year's crop, I got a couple pullets that laid a white egg. I then used those pullets to color test my males.
Many would try and tell me that those W & BW Ameraucanas laying the white egg weren't Ameraucanas. Additionally, as I imagine everyone here knows, when I'd mate a single Mb bird to another single Mb bird, I'd get some clean faced birds. Supposedly they aren't Ameraucanas either. Yet, if I were to breed that bird back to a double Mb bird, I'd get all single Mb birds - which could be shown!