Story time: hawk
I was visiting a lake (walking distance from the house) a number of years ago. Happened upon the bank (3 feet down to high water, at low so had several feet of "beach") just as an osprey caught a trout (18-24 inches have been caught there before) and off into the air it went. As the osprey turned toward its treetop nest, a red-tailed hawk came in. Next thing I knew there was an aerial dogfight happening. They dropped the fish, 30 yards or so from me. Fresh fish! By the time I reached the impact area, I couldn't find it. Only obstacles were lots of 4-5 feet tall sagebrush. Dogfight broke up within milliseconds of the fish hitting the ground. Osprey back to the lake for another, red-tailed headed off away from the lake looking for a rabbit or such.
Chicken shapes (especially with feathers) would have to be held just right to be able to carry off. Much easier to eat at kill site, carry off what's left later....unless there's babies to feed. Then all bets are off.