Exactly! Bred back to a cuckoo that doesn't carry mottled you would get cuckoo(barred) chicks with a 25% chance of carrying mottled.Interesting! So, they will look like standard cuckoos, but carry mottled? What if you breed the offspring back to a cuckoo (that doesn't carry mottled) of the opposite sex? Or back to a black mottled?
Bred to a black mottled you should get 100% mottled chicks, with 50% also being barred. If you used a barred female all of the barred and mottled chicks would be male. If you use a barred male then barring would not indicate gender because a single barred male has a 50/50 chance of passing on barring to both male and female offspring.