Yes, easter eggers can have muffs. Ameraucanas only come in certain accepted colors, and this bird's not one of them. Easter eggers meanwhile are just mixed breed birds that usually have muffs and a pea comb and usually lay blue or green eggs, and can be any color.
Hatcheries in general aren't great with providing good examples of the breeds they carry. If you want some nice quality birds that are good representatives of their breed, you should find a breeder to buy from
I bought the rare breed selection from Murray McMurray online. Got 26 for 68 bucks plus shots a good price overall. I’ll post what their response to my question “Does this package include EE’s as well as rare (not mixed) breeds.”
Hoping she's a Whiting True Blue, instead of EE, for your sake.
Mutts, perhaps....but I find Easter Eggers to be a lovely "breed" (I understand it's not technically a breed, but since those from hatcheries quite often sport characteristics in common - ie., pea comb, muffs/beard, green legs - they're at least somewhat consistent in my mind rather than random mixes of everything) worth valuing.