I think it depends. If it just died, it might be worth it. I wouldn't risk it on a bird that has been sitting dead for awhile, though. I'd also consider why they died.
I would not eat it and I would hope that you didn't eat it either. If you found a dead bunny or other animal on the side of the road would you eat it? LOL, I sure hope not.
Actually, I come from a long line of people who if they found warm dead fresh roadkill.....
Heck yes they would take it home and eat it. I don't want "opinions" I want true answers from people who really know chickens. If you have a healthy bird who all of a sudden dies from being egg bound or something else and you find your own bird, that you know what it has been eating.....
You can if you want to take the risk of contacting whatever it died from.
Now we used to eat chickens that just up and died when my mother in law came for a visit cuz they just did that when they saw her comin. However I wouldn't just eat a chicken that was fine one minute and dead the next (well that is how the chickens my mother in law scared to death died, but I mean when she weren't there) unless I knew what killed them. Fact is my wife used to jus say we're havin chicken for dinner tomorrow and I knew her mother was comin.
I used to hide my favorites when I knew she were comin.
Might be something contagious. Hope you life insurance is paid up.