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Real answer: probably because chickens, ducks, and quail are generally just better at laying commercially viable eggs. Turkeys lay a lot fewer eggs, their eggs look wrong compared to chicken eggs, they only lay eggs seasonally, turkeys are much larger birds than chickens and quail, and turkeys typically brood their eggs which makes it harder to commercially farm them. You can grow turkeys and eat their eggs, and some people do. It just isn't viable to try to market those eggs because they'd be way more expensive than chicken, duck or quail eggs but not proportionately better.