It's all very calm here on butchering days, nothing that upsets the other birds. I put the candidates in a seperate cage the night before so they don't have access to food, not even grass. I want them to have empty crops & intestines. (They do have all the water they need) So there's not a lot of running around chasing birds in broad daylight, trying to catch the dinner guests.
I get my birds very calm & relaxed before dispatching by holding them upside down, stroking their chests, talking soothingly to them. Last time I "hypnotized" them by tucking their heads under a wing, holding them upside down & rocking them side to side, really wide, about 10 times. They could then be laid on the table for tying and they didn't move an inch. One of them even sounded like he was snoring. They stayed asleep until I hung them up to slit their throats, there was very little noise or fuss.
But even if there was, I don't think it would bother the layers in the slightest. They circle around the table like sharks, waiting to snap up the bits of meat & organs I toss out to them. They'll peck at the carcasses too, if they can get within reach of them!