I don't have roosters, but now i have my guinea fowls waking me up at 6am (sometimes sooner if they spook themselves)
All I've ever read/heard was that they are good "alarms" for danger, but they really don't serve that purpose since they scream at literally nothing all day. <
Since I'm blogposting already, my goose is a shit guardian also. She only does her "warning scream" shit when she sees me. Any predator can stalk around without her giving a shit though