It really isn't.
Even for euthanizing rats for feeding reptiles, stunning by smashing the head against a hard object or pithing the brain of the animal is preferable to CO2 if you're only euthanizing one animal.
Although it wasn't my first choice, however a certified vet did say CO2 was very viable, but not in its pure form, it needed to be a mix of like 80 20 air or something, I still was wary because from my experiences CO2 is very pungent when breathed in large quantities, Id not want to use that method myself.
Something like nitrogen, seemed like a very painless way to go, you get light headed, a bit dizzy and in about 30 to 45 seconds you pass out, in a coma on the way to death. Plenty of people have died this way going into confined spaces, just ask NASA and it wasn't much of a struggle at all from them. Nitrous may be another. For those who were kids who may have experimented with whippets, you know first hand how painless and fast that will take you down.
Break you neck. Ok so unless the rest of the body is disconnected, unless you sever it completely, the heart is still beating somewhat etc and blood is still being supplied. Nothing below that break can report the pain to the brain. Im sure that at the point of the break pain is being reported very much so, just the poor bird can't cry out anymore because you paralyzed it. The brain has some oxygen it's still viable for a little bit, the eyes still see what happened, it knows what happened, but can't move or say a thing about it. So if we want to talk about painless here, lets be truthful. I think we say this is painless just to make ourselves feel better about it. Either way it has to be done, one way or another. Maybe one should just smash the entire head with a 50 lb cinder block one big splat, if the brain is totally destroyed, it can't feel pain, or process it even if it wanted to. That way you don't have to worry about the 'head up' feeling pain, and the slowly glazing eyes, their last look, is at the person they trusted, that just killed them, because that entire processing 'sub assembly' is now mush.
Unconscious eliminates .. cognizant acknowledgement of pain, the surgeon knocks you out AND paralyzes you so you can't feel or involuntarily move when pain hits, nor do you remember when you come to again.
Snapping Neck - just blocks path pain would take from that point down, also has the affect of shutting down ALL life support for the bird, but bird KNOWS what happened, may feel it but can't tell you so.
Im hungry, lets see what's in the freezer. CHopped Chicken Neck or White Trash Tramadol Nuggets, hmm, hard choices
Although there is some crassness in places, good conversation going on here, on a topic people really need to confront. Thank you to all who contributed so far.
Aaron