The eggs of the Chukar are more than 2x the size of the Coturnix eggs. Most people don't eat those Chukar eggs, I am sure you can, but once you eat one of those birds you will be hatching every egg they lay and they are prolific layers during the on season. The Coturnix will lay nearly one a day, almost year round, but it takes 3 of theirs to = one chicken egg. They have better food conversion rate, and lay much earlier, but it takes more eggs to equal same mass of one chicken. So pick you poison. Mine are white meat, and I eat them as often as I can as even BBQ, Souis Vede or smoked. The eggs I pickle or hatch.
Or crack in ice cube trays, 3 to a hole, and freeze. Use for baking, omelettes, etc as all premeasured.

They are far healthier meat/egg than chicken.

Chukar should live with quail fine, provided there's enough room. They are extremely peaceful. And fly tiers will want the skinned portion for flies.