False in so many ways.
Easter Eggers can be any combination of color and pattern, including solid colors. Solid coloring is not what differentiates an Easter Egger from a pure Ameraucana. Modern Ameraucana were actually derived and refined from the birds we now call Easter Eggers. Ameraucana have white skin, with slate legs, pea combs, muffs, beards, only lay blue eggs, and are White, Black, Blue, Buff, Blue Wheaten, Wheaten, Brown Red (same coloring as Black Copper Marans), or Silver. There are also some project colors which include Lavender/Self Blue, Mottled, and Splash.
Easter Eggers can be any color, have any comb type, have muffs and beard or be clean faced, can have any color skin, any color legs, and lay any colored egg. Easter Eggers can be Ameraucana mixes, Legbar mixes, Rhodebar mixes, Araucana mixes, or come from the hatchery landrace types.