With respect to the ability to detect predators, most breeds appear similar with exception of breeds like polish. The real differences are in respect to avoidance behavior and physical ability to carry it out. Some breeds like Old English Bantams seem sort of at a loss as what to do and others like my American Dominiques seem to know what to do but lack the physical ability to fly as needed.
Flight is beneficial even when dealing with hawks. With ground predators, simply flying up into a tree or onto a building is adequate but most poultry lack either the sprinting ability or the long distance capacity. Even many of the flighty breeds are short changed on endurance somtimes needed to get from middle of feild to a tree. With hawks, the flappping run is faster method than simply running.
Experience is also important. Nieve birds gets picked off even though they have abilities. Each year my birds need to see a flock member or two get at least chased before they even get scared and then they need to learn where they are safe from a given type of predator. Adults can help greatly with this regard.
Not all responses are instinctive and physical conditon can effect abilities of birds to respond. My conditioned games are much more capable fliers than those that are penned up.
AMERICAN GAMES ARE HANDILY THE BEST WITH RESPECT TO AVOIDING PREDATORS I DEAL WITH BUT THEY DO NOT LAY OR PRODUCE MEAT AS WELL.