They are basically the same species... the wild common quail and the domesticated Japanese quail.
The domesticated ones are bigger, lay more eggs and have lost a lot of their natural instincts.. they also can not fly very well.. and will not be able to migrate!!
The common quail in Europe is hunted a lot.. and its population is declining. Some countries make hybrid quail with the domesticated X wild ones and release them into the wild to boost the hunting sport.
I think this is very wrong.. as they are not tackling the reason the wild birds are declining.. and the hybrids may interbreed with the natural ones.. resulting in even more damage to the wild population.
Don't worry about the domesticated ones not brooding their eggs. If you keep them in a natural setting with lots of plants and cover.. and only keep a pair. or a male with 2 females... they will go broody and raise their own chicks. Mine have many times... even the white ones! And I also have read about lots more people who have had domesticated quail rear their own young. Lots of stuff on You Tube.
They will not go broody and make a nest in a commercial quail cage... its just to stressful for them and totally unnatural.