Neither are you describing mine. My Cubalayas range out 100 -150 yards easily and are very hawk savvy. I haven't lost more than 10 in the 5 years I've had them. They will free range even when there's plenty of feed in the feeders. The hens are excellent mothers to the chicks and very hawk smart on free range. I do have a line that has been pen raised for the last 10 years before I got them and they don't seem to be as sharp with predators as the others are. I will free range them like the rest and just keep the ones that survive, to produce survivors.
I did have several hatchery Cubalaya 6 years ago, they were not predator wary at all, with the exception of 1 cockerel and consequently he got to pass on his genes. I still have some of his bloodline on my chicken yard and they are very alert and predator wary. I did notice a difference in the hatchery chicks and my farm chicks, that while in the brooder the hatchery Cubalaya chicks just trusted every unusual sound and movement to be perfectly normal, while on the other hand my farm raised, incubator hatched Cubalaya would scatter and flatten themselves to the very same noises/sounds that the hatchery ones treated as normal. I'm talking about 2 - 4 day old chicks in exactly the same conditions, so I believe that predator wariness is at least partly inherited. On average I have 3 -4 hens with chicks free ranging every day. I rotate my pens to free range. I just simply have almost no trouble with hawks getting any of them. It's not that the hawks don't try because they do, it's because of the wariness of the chickens. I do have a good amount of cover for them to dash into, so I'm sure that helps a lot. My hens will not venture far from cover when they have a brood of chicks with them, which to me means that they are aware of the hawk danger and do what they can to prevent any casualties.