There's no "standard" saying what makes a bird an Easter egger, but imo if you've lost the blue/green gene, and any identifying characteristics such as slate or willow legs, muffs/beard, pea comb, then you've lost the "Easter egger" part and simply have mixed breed birds, just like mixing any other breed. I have lots of birds with EE background, but no characteristics, so I don't call them EE, I just call them barnyard mix.
I agree. The (only) defining characteristic of an EE is that they carry the blue egg gene somewhere. If your birds are several generations away from a blue egg layer and laying brown eggs, IMO they are not EEs. I have some birds whose father was an EE. Some of them lay brown eggs, some lay green eggs. IMO, only the green egglayers get to be called EEs and the others are simple mutts.
And the bird above doesn't have a single characteristic that would make her an EE--not the coloration, not the willow legs, not the beard, not the pea comb, nothing. It does, OTOH, have every single characteristic to make it a BSL. If it looks like a duck and lays duck eggs, it's probably a duck, not a peahen.